Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

Options:

8 hours

10 hours

12 hours

24 hours

Correct Answer:

12 hours

Explanation:

Using LCM method:

Efficiency of A = 3, B+C = 4, A+C = 6 B=?

A+C = 6, A = 3, C = 3

B+C = 4, C = 3, B = 1

B alone will do it in = \(\frac{12}{1}\) = 12 hours