A can do a work in 21 days and B in 17 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

A can do a work in 21 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 7.05
B. 12.05
C. 14.55
D. 9.55
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined time for full work multiplied by 0.75 = 7.05 days.

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Practice More Time and Work Questions

Question #1
10 men can complete a work in 20 days. If 14 men work at the same rate, in how many days will the work be completed?
A. 20.29
B. 16.29
C. 18.29
D. 14.29

Correct Answer: Option D


Explanation:
Total work = 10 × 20 = 200 man-days. Required days = 200/14 = 14.29 days.

This question belongs to: Maths Time and Work
Question #2
15 men can complete a work in 19 days. If 19 men work at the same rate, in how many days will the work be completed?
A. 17.0
B. 19.0
C. 15.0
D. 21.0

Correct Answer: Option C


Explanation:
Total work = 15 × 19 = 285 man-days. Required days = 285/19 = 15.0 days.

This question belongs to: Maths Time and Work
Question #3
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
A. 5 days
B. 10.5 days
C. 6 days
D. 10 days

Correct Answer: Option D


Explanation:
Total work = LCM(24, 9, 12) = 72 units. Efficiency of A = 3, B = 8, C = 6. B and C work for 3 days: work done = 3 * (8 + 6) = 3 * 14 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by A to complete remaining work = 30 / 3 = 10 days.

This question belongs to: Maths Time and Work