Question

In a project a team of 54 members can do a work in 35 hours. In how many hours can 18 members do the same work?

A. 90

B. 120

C. 105

D. 110

1. A
2. C
3. D
4. B

Answer 1

Correct Answer - Option 2 : C

Given:

54 members can do work in = 35 hours

Number of members = 18

Concept used:

work = time × efficiency

Calculation:

Let the efficiency of each member be M.

Let the number of hours by which 18 members finish work be D.

total work = 54 × M × 35

Total work = 18 × M × D

Equating total work in both cases,

 54 × M × 35 = 18 × M × D

D = 54 × 35/18 =105 hours

∴ The number of hours by which 18 members finish the work is 105 hours.