If 3 men or 4 women can plow a field in 43 days, how long will 7 men and 5 women take to plow it? MCQ with Answer and Explanation

If 3 men or 4 women can plow a field in 43 days, how long will 7 men and 5 women take to plow it?
A. 15 days
B. 10 days
C. 8 days
D. 12 days
Answer: Option D
Solution (By JKSSB Mock Tests)
3 Men = 4 Women => 1 Man = 4/3 Women. 7 men + 5 women = 7 * (4/3) + 5 = 28/3 + 5 = 43/3 women. Since 4 women take 43 days, 43/3 women will take (4 * 43) / (43/3) = 4 * 3 = 12 days.

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Practice More Time and Work Questions

Question #1
A can finish a work in 10 days and B in 15 days. B starts the work and is joined by A after 5 days. What is the total number of days taken to complete the work?
A. 8 days
B. 6 days
C. 7 days
D. 9 days

Correct Answer: Option D


Explanation:
Total work = LCM(10, 15) = 30 units. Efficiency of A = 3, B = 2. B works alone for 5 days: work completed = 5 * 2 = 10 units. Remaining work = 30 - 10 = 20 units. Now A and B work together with efficiency = 3 + 2 = 5 units/day. Time taken for remaining work = 20 / 5 = 4 days. Total time = 5 + 4 = 9 days.

This question belongs to: Maths Time and Work
Question #2
A and B work together. A alone can complete the work in 24 days and B alone in 28 days. What percentage of the total daily work is contributed by A?
A. 58.85
B. 53.85
C. 61.35
D. 56.35

Correct Answer: Option B


Explanation:
A share = (1/24) / (1/24+1/28) ×100 = 53.85%.

This question belongs to: Maths Time and Work
Question #3
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. 15.0
B. 17.0
C. 21.0
D. 19.0

Correct Answer: Option A


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

This question belongs to: Maths Time and Work