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. 2.4 days
B. 3 days
C. 2.6 days
D. 4 days
Answer: Option A
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Time and Work

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Time and Work Questions

Question #1 Report Error
A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 9.23
B. 11.73
C. 6.73
D. 14.23

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 24 days and B in 30 days. If both work together, in how many days will the work be completed?
A. 20.83
B. 18.33
C. 15.83
D. 13.33

Correct Answer: Option D


Explanation:
Combined rate = 1/24 + 1/30. Time = 13.33 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
8 men can complete a work in 24 days. If 12 men work at the same rate, in how many days will the work be completed?
A. 20.0
B. 18.0
C. 22.0
D. 16.0

Correct Answer: Option D


Explanation:
Total work = 8 × 24 = 192 man-days. Required days = 192/12 = 16.0 days.

This question belongs to: Maths Time and Work