A can do a piece of work in 10 days, B in 15 days. They work together for 2 days and then A leaves. In how many days will B complete the remaining work? MCQ with Answer and Explanation

A can do a piece of work in 10 days, B in 15 days. They work together for 2 days and then A leaves. In how many days will B complete the remaining work?
A. 8 days
B. 10 days
C. 12 days
D. 11 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = LCM(10, 15) = 30 units. Efficiency of A = 3, B = 2. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by B to complete remaining work = 20 / 2 = 10 days.

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Practice More Time and Work Questions

Question #1
11 men can complete a work in 21 days. If 15 men work at the same rate, in how many days will the work be completed?
A. 17.4
B. 21.4
C. 15.4
D. 19.4

Correct Answer: Option C


Explanation:
Total work = 11 × 21 = 231 man-days. Required days = 231/15 = 15.4 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 21 days and B in 25 days. If they work together, the work will be completed in:
A. 11.41
B. 21.41
C. 16.41
D. 26.41

Correct Answer: Option A


Explanation:
Combined rate = 1/21 + 1/25. Required time = 11.41 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 34 days. What percentage of work will A complete in 6 days?
A. 17.65
B. 27.65
C. 32.65
D. 22.65

Correct Answer: Option A


Explanation:
Percentage completed = (6/34) × 100 = 17.65%.

This question belongs to: Maths Time and Work