Time and Work Questions and Answers – Page 12

The verified answer to “Solve this Time and Work question: A and B working together complete work in 6 days. A alone completes in 10 days. B was absent for 2 days. Total days?” is 7.5 days, option D. The question-specific working supplied with the item states: B alone = 15 days. When B absent 2 days, those 2 days only A works = 2/10 = 1/5 work done. Remaining = 4/5 done together at 1/6/day. Days = 24/5 = 4.8. Let me solve differently. Let total days = D. Actually A and B together D days - B absent 2 days means for 2 days only A works. Together days = D-2. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 7.5 days. The alternatives 8 days, 6.5 days and 9 days fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 7.5 days, so option D is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: Working 8 hours a day, 15 persons complete work in 12 days. How many persons needed if working 10 hours to finish in 9 days?” is 16, option C. The question-specific working supplied with the item states: 15 x 8 x 12 = P x 10 x 9. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives 12, 14 and 18 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: A can do a work in x days. B is 33.33% more efficient. B completes work in?” is 0.75x, option B. Days for B = x * (100/133.33) = 0.75x. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 0.75x. The alternatives 0.5x, 1.33x and x fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 0.75x, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: A does 40% of work in 8 days. Rest done by B in 12 days. Together = 1/20+1/20 = 1/10. Wait A does 40% in 8 days so A rate = 1/20. B does 60% in 12 days so B rate = 0.6/12 = 1/20. Together = 2/20 = 1/10. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 8.57 days. The alternatives 9 days, 10 days and 12 days fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 8.57 days, so option A is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: If 4 workers make 8 items in 4 hours, how many items do 2 workers make in 2 hours?” is 2, option D. The question-specific working supplied with the item states: Items = workers x time x rate. Items = 2 x 2 x 0.5 = 2. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. The alternatives 4, 6 and 1 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: A can finish work in 18 days and B in 15 days. B works for 10 days. A must finish in how many days?” is 6 days, option C. The question-specific working supplied with the item states: B does 10/15 = 2/3 work. A does 1/3 in 18/3 = 6 days. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 6 days. The alternatives 12 days, 8 days and 9 days fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 6 days, so option C is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: A alone does work in 16 days and B alone in 12 days. How many days?” is 13.5 days, option B. The question-specific working supplied with the item states: A and B alternately. In 12 days: 6 x 7/48 = 42/48 = 7/8. A does 1/8 in 2 days. Total = 13.5 days. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 13.5 days. The alternatives 15 days, 14 days and 12 days fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 13.5 days, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: Two taps fill tank in 3 and 4 hours. Third tap empties in 2 hours. So fills in 12. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is Never fills. The alternatives 12 hours, 8 hours and 6 hours fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to Never fills, so option A is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: 20 men can complete work in 16 days. After 4 days, 4 more men join. In how many more days?” is 10 days, option D. The question-specific working supplied with the item states: Work done in 4 days = 4/16 = 1/4. New rate = 24 men. Days = (3/4)/(24/20x1/16) = ... 20 men in 16 days do 1 work. 24 men rate = 24/320. Days = (3/4)/(24/320) = 240/96 = 10/4 = 10 days. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 10 days. The alternatives 12 days, 6 days and 8 days fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 10 days, so option D is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

The verified answer to “Solve this Time and Work question: A is 3 times as fast as B. A takes 40 days less than B. In how many days can they together complete?” is 15 days, option C. Together = 1/20+1/60 = 4/60 = 1/15. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 15 days. The alternatives 25 days, 10 days and 20 days fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 15 days, so option C is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.