To do a certain task Bhuvan would take 3 times as long as Abir and Varun together and Varun would ta...........

Quant (SSC) Time and work

To do a certain task Bhuvan would take 3 times as long as Abir and Varun together; and Varun would takes 4 times as long as Abir and Bhuvan together. Three of them together can complete the task in 5 days. How much time is taken by Bhuvan and varun to complete the task?

14 1/2 days

13 1/3 days

12 days

11 1/9 days

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Explanation:

Let us represent efficiency of Abir, Bhuvan and Varun by A, B and V respectively.
According to the question,
B / A + V = 1/3 ........i
V / A + B = 1/4 ........ii
To equate the ratio in the above equations, let us multiply (1) by 5 and (2) by 4.
So, A : B : V = 11 : 5 : 4
11 + 5 + 4 = 20 units
In 5 days, task completed = 20 × 5 = 100 units (total task)
Time taken by Bhuvan and Varun to complete the task
= 100 /4 + 5 = 11 1/9 days