A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work can they finish in a day? MCQ with Answer and Explanation

A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work can they finish in a day?
A. 1/9
B. 1/6
C. 1/4
D. 2/5
Answer: Option B
Solution (By JKExamLibrary)
Time taken by A = 18 days, so B takes 9 days. Efficiency of A = 1/18, B = 1/9. Together in one day = 1/18 + 1/9 = 3/18 = 1/6.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A can complete a work in 18 days and B in 16 days. If they work together, the work will be completed in:
A. 13.47
B. 23.47
C. 18.47
D. 8.47

Correct Answer: Option D


Explanation:
Combined rate = 1/18 + 1/16. Required time = 8.47 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 12 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?
A. 10.73
B. 14.73
C. 8.73
D. 12.73

Correct Answer: Option C


Explanation:
Combined rate = 1/12 + 1/32. Time = 1 ÷ combined rate = 8.73 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 11 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?
A. 7.22
B. 11.22
C. 9.22
D. 13.22

Correct Answer: Option A


Explanation:
Combined rate = 1/11 + 1/21. Time = 1 ÷ combined rate = 7.22 days.

This question belongs to: Maths Time and Work