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Monika is twice as efficient as Ritu and takes 60 days less than Ritu to complete a job. Find the time in which they can finish the job together.
Question

Monika is twice as efficient as Ritu and takes 60 days less than Ritu to complete a job.
Find the time in which they can finish the job together.

A.

70 days

B.

40 days

C.

50 days

D.

22 days

Correct option is B

Given:
The efficiency of Monika = 2 × efficiency of Ritu
Concept used:
When work done is same, efficiency ∝ (1/time)
Work = time × efficiency
Solution:
The ratio of efficiency of Monika to Ritu = 2 ∶ 1
The ratio of time taken by Monika and Ritu = 1 ∶ 2
Difference in time taken by Ritu and Monika = 2 - 1 = 1 unit
The difference in time taken by Ritu and Monika = 60 days
1 unit → 60 days
Then, 2 units → 120 days

Time taken by both together to finish the work =1202+1=1203=40 days= \frac{120}{2 + 1} = \frac{120}{3} = 40 \text{ days}​​

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