A can complete a work in 16 days and B in 18 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

Question

Share Report Error

A can complete a work in 16 days and B in 18 days. If they work together, the work will be completed in:

A. 13.47

B. 23.47

C. 8.47

D. 18.47

Answer: Option C

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Time and Work

Request complete Subject PDF

Discuss this Question (0)

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

Practice More Time and Work Questions

Question #1

Share Report

A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. If A, B and C work together, in how many days will they complete the work?

A. 5 days

B. 10 days

C. 8 days

D. 12 days

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Sum of efficiencies = 2 * (A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Time taken together = 60 / 6 = 10 days.

This question belongs to: Maths Time and Work

Question #2

Share Report

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A. 50 days

B. 45 days

C. 40 days

D. 35 days

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.

This question belongs to: Maths Time and Work