Salim taken 8 days to finish a piece of work Manoj takes 12 days to finish the same piece of work Ra...........

Quant (SSC) Time and work

Salim taken 8 days to finish a piece of work. Manoj takes 12 days to finish the same piece of work. Raj works twice as fast as Salim. How many days will all three of them together take to finish the same piece of work?

2 3/11

3 8/13

5 2/3

2 2/11

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Explanation:

If A, B and C can do a work in x, y and z days respectively then all of them working together can finish the work in
(xyz /xy + yz + zx) days
Given:
Time taken by Salim = x = 8 days
Time taken by Manoj = y = 12 days
Time taken by Raj (Twice as fast as Salim) = z = 8/2 = 4 days
By the short trick approach:
A, B and C can do the work in
= 8 × 12 × 4 /8×12 + 12×4 + 4×8
After taking 8 as a common term we get,
= 48 /12 + 6 +4 = 48/22
= 24/11 = 2 2/11