A, B and C can do a work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? MCQ with Answer and Explanation

A, B and C can do a work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A. 18 days
B. 15 days
C. 16 days
D. 12 days
Answer: Option B
Solution (By JKExamLibrary)
Total work = LCM(20, 30, 60) = 60 units. Efficiency of A = 3, B = 2, C = 1. Day 1: A works (3 units). Day 2: A works (3 units). Day 3: A, B, and C work together (3 + 2 + 1 = 6 units). Total work in 3 days = 3 + 3 + 6 = 12 units. To complete 60 units, number of 3-day cycles needed = 60 / 12 = 5 cycles. Total days = 5 * 3 = 15 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
12 men can complete a piece of work in 36 days. In how many days will 18 men complete the same work?
A. 24 days
B. 30 days
C. 28 days
D. 18 days

Correct Answer: Option A


Explanation:
Using M1 * D1 = M2 * D2: 12 * 36 = 18 * D2 => D2 = (12 * 36) / 18 = 12 * 2 = 24 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 24 days and B in 45 days. If both work together, in how many days will the work be completed?
A. 23.15
B. 20.65
C. 15.65
D. 18.15

Correct Answer: Option C


Explanation:
Combined rate = 1/24 + 1/45. Time = 15.65 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 21 days and B in 42 days. After working together for 5 days, what percentage of work remains?
A. 69.29
B. 66.79
C. 71.79
D. 64.29

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/21+1/42))×100 = 64.29%.

This question belongs to: Maths Time and Work