Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

If A had worked alone he would have taken 56 hours to do the task. What is B’s share, if A and B together on a task finishing it in 35 hours and they get paid Rs.4880 for it ?

Options:

1800

1830

2000

2130

Correct Answer:

1830

Explanation:

A+B = 8R & A = 5R

B = 3R

total work = efficiency × number of hours

time taken by B = \(\frac{280R}{3R}\) = \(\frac{280}{3}\) hours

ratio of time taken        A    :     B

                                 56    :   \(\frac{280}{3}\)

                               168    :    280

                                 3      :     5

Efficiency                   5       :     3

 the ratio in which amount is paid is same as ratio of their work

8R = 4880

1R = 610

3R = 1830  is the share of B