A is twice as fast as B and B is thrice as fast as C. If C alone can complete the work in 24 days, in how many days can they together finish the work? MCQ with Answer and Explanation

A is twice as fast as B and B is thrice as fast as C. If C alone can complete the work in 24 days, in how many days can they together finish the work?
A. 4 days
B. 3 days
C. 2.4 days
D. 2.6 days
Answer: Option C
Solution (By JKSSB Mock Tests)
Let efficiency of C = 1. Then efficiency of B = 3 * 1 = 3. Efficiency of A = 2 * 3 = 6. Total work = Efficiency of C * Time of C = 1 * 24 = 24 units. Combined efficiency of A, B and C = 6 + 3 + 1 = 10. Time taken together = 24 / 10 = 2.4 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 30 days and B alone in 28 days. What percentage of the total daily work is contributed by A?
A. 50.78
B. 48.28
C. 53.28
D. 55.78

Correct Answer: Option B


Explanation:
A share = (1/30) / (1/30+1/28) ×100 = 48.28%.

This question belongs to: Maths Time and Work
Question #2
11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed?
A. 15.0
B. 13.0
C. 17.0
D. 11.0

Correct Answer: Option D


Explanation:
Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.

This question belongs to: Maths Time and Work
Question #3
12 men can complete a work in 8 days. How many days will it take for 16 men to complete the same work?
A. 4 days
B. 6 days
C. 7 days
D. 5 days

Correct Answer: Option B


Explanation:
Using M1 * D1 = M2 * D2: 12 * 8 = 16 * D2. 96 = 16 * D2. D2 = 96 / 16 = 6 days.

This question belongs to: Maths Time and Work