A is twice as fast as B and B is twice as fast as C. If they together can complete a work in 4 days, in how many days can C alone complete it? MCQ with Answer and Explanation

A is twice as fast as B and B is twice as fast as C. If they together can complete a work in 4 days, in how many days can C alone complete it?
A. 24 days
B. 28 days
C. 32 days
D. 16 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Let efficiency of C = 1, then B = 2 and A = 4. Combined efficiency = 1 + 2 + 4 = 7 units/day. Total work = 4 * 7 = 28 units. Time taken by C alone = 28 / 1 = 28 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 22 days and B in 12 days. If they work together, the work will be completed in:
A. 7.76
B. 12.76
C. 22.76
D. 17.76

Correct Answer: Option A


Explanation:
Combined rate = 1/22 + 1/12. Required time = 7.76 days.

This question belongs to: Maths Time and Work
Question #2
12 men can complete a project in 8 days. How many extra men are required to complete the same project in 6 days?
A. 6
B. 8
C. 4
D. 16

Correct Answer: Option C


Explanation:
Using M1 * D1 = M2 * D2: 12 * 8 = M2 * 6. M2 = 96 / 6 = 16 men. Extra men required = 16 - 12 = 4.

This question belongs to: Maths Time and Work
Question #3
17 men can complete a work in 14 days. If 22 men work at the same rate, the work will be completed in:
A. 25.82
B. 10.82
C. 15.82
D. 20.82

Correct Answer: Option B


Explanation:
Total work = 238 man-days. Time = 238/22 = 10.82 days.

This question belongs to: Maths Time and Work