A can complete a work in 20 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 20 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
A. 10.57
B. 8.57
C. 14.57
D. 12.57
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/20 + 1/15. Time = 1 ÷ combined rate = 8.57 days.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?
A. 64.09
B. 61.59
C. 59.09
D. 66.59

Correct Answer: Option C


Explanation:
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.

This question belongs to: Maths Time and Work
Question #2
A, B and C can do a work in 6, 8 and 12 hours respectively. If they work together, how many hours will they take to complete the work?
A. 2(1/2) hours
B. 2(2/3) hours
C. 3 hours
D. 3(1/3) hours

Correct Answer: Option B


Explanation:
Total work = LCM(6, 8, 12) = 24 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9. Time taken together = 24 / 9 = 8 / 3 = 2(2/3) hours.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 10 days and B in 20 days. They work together for 5 days. What percentage of work remains?
A. 25.0
B. 40.0
C. 35.0
D. 30.0

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/10+1/20)) ×100 = 25.0%.

This question belongs to: Maths Time and Work