A can complete a work in 14 days and B in 37 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 14 days and B in 37 days. If both work together, in how many days will the work be completed?
A. 10.16
B. 17.66
C. 15.16
D. 12.66
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/37. Time = 10.16 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 21 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?
A. 11.62
B. 17.62
C. 15.62
D. 13.62

Correct Answer: Option A


Explanation:
Combined rate = 1/21 + 1/26. Time = 1 ÷ combined rate = 11.62 days.

This question belongs to: Maths Time and Work
Question #2
A is twice as efficient as B, and C is thrice as efficient as B. If they working together can finish a work in 5 days, in how many days can A alone finish it?
A. 10 days
B. 12 days
C. 18 days
D. 15 days

Correct Answer: Option D


Explanation:
Let efficiency of B = 1. Then efficiency of A = 2, and efficiency of C = 3. Combined efficiency = 1 + 2 + 3 = 6. Total work = 5 * 6 = 30 units. Time taken by A alone = 30 / 2 = 15 days.

This question belongs to: Maths Time and Work
Question #3
17 men can complete a work in 15 days. If 21 men work at the same rate, in how many days will the work be completed?
A. 14.14
B. 16.14
C. 18.14
D. 12.14

Correct Answer: Option D


Explanation:
Total work = 17 × 15 = 255 man-days. Required days = 255/21 = 12.14 days.

This question belongs to: Maths Time and Work