Caselets

Q: How many days will Person C take to complete the work alone?

Correct Answer: Option C (24 days). Time taken by A = 20 days. Efficiency of A = 1/20 of work per day = 5% per day. B is 25% more efficient than A => Efficiency of B = 1.25 * 5% = 6.25% per day. Time taken by B = 100 / 6.25 = 16 days. C takes 50% more time than B => Time C = 1.5 * 16 = 24 days.

Q: How many days will Person D take to complete the work alone?

Correct Answer: Option A (10.9 days). Efficiency of A = 1/20 per day. Efficiency of C = 1/24 per day. Combined efficiency of A and C = (1/20) + (1/24) = (6+5)/120 = 11/120 per day. Time taken by A and C together = 120/11 days = 10.909 days. D takes the same time, so D takes 120/11 or approx 10.9 days.

Q: If A, B, and C work together for 4 days, what percentage of the work will remain incomplete?

Correct Answer: Option B (38.33%). Work done by A in 1 day = 5%. Work done by B in 1 day = 6.25%. Work done by C in 1 day = (100/24)% = 4.167%. Total work in 1 day = 5 + 6.25 + 25/6 = 11.25 + 4.167 = 15.4167%. Alternatively, fraction = 1/20 + 1/16 + 1/24 = (12 + 15 + 10) / 240 = 37 / 240. Work done in 4 days = 4 * (37/240) = 37/60. Incomplete work = 1 - (37/60) = 23/60. Percentage = (23/60) * 100 = 38.33%.

Q: If D works at 50% of his original efficiency, how many days will he take to finish the work with B?

Correct Answer: Option C (9.6 days). Original efficiency of D = 11/120 per day. D's new efficiency = 11/240 per day. Efficiency of B = 1/16 = 15/240 per day. Combined efficiency = 11/240 + 15/240 = 26/240 = 13/120 per day. Time taken = 120/13 days = 9.23 days. (Wait, let me recalculate. 120/13 = 9.23. The closest option is 9.2 days). Answer is B.

Q: A and B start the work together but A leaves after 5 days. How many more days will B take to complete the remaining work alone?

Correct Answer: Option B (7 days). A and B 1 day work = 1/20 + 1/16 = 9/80. Work done in 5 days = 5 * (9/80) = 45/80 = 9/16. Remaining work = 1 - 9/16 = 7/16. Time taken by B to do 7/16 work = (7/16) / (1/16) = 7 days.

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Caselet Context & PassageSet 2: Time & Work

Person A can complete a piece of work in 20 days. Person B is 25% more efficient than A. Person C takes 50% more time than B to complete the same work. Person D takes the exact same amount of time to complete the work as A and C take when working together simultaneously.

Q11

How many days will Person C take to complete the work alone?

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Q12

How many days will Person D take to complete the work alone?

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Q13

If A, B, and C work together for 4 days, what percentage of the work will remain incomplete?

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Q14

If D works at 50% of his original efficiency, how many days will he take to finish the work with B?

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Q15

A and B start the work together but A leaves after 5 days. How many more days will B take to complete the remaining work alone?

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Caselets

How many days will Person C take to complete the work alone?

Community Discussion & Shortcut Formulas

How many days will Person D take to complete the work alone?

Community Discussion & Shortcut Formulas

If A, B, and C work together for 4 days, what percentage of the work will remain incomplete?

Community Discussion & Shortcut Formulas

If D works at 50% of his original efficiency, how many days will he take to finish the work with B?

Community Discussion & Shortcut Formulas

A and B start the work together but A leaves after 5 days. How many more days will B take to complete the remaining work alone?

Community Discussion & Shortcut Formulas