  # A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? (a). 5 days (b). 20 days (c). 10 days (d). 15 days

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Updated on: September 25th, 2023 Given

Time is taken by A to do a piece of work = 20 days

Time is taken by B to do a piece of work = 30 days

Time is taken by C to do a piece of work = 60 days

We have to find the number of days A can do the work if he is assisted by B and C every third day

A’s work in 2 days = 1/20 x 2 = 1/10

A + B + C work in 1 day = 1/20 + 1/30 + 1/60

= 6/60

= 1/10

So the work done in 3 days = 1/10 + 1/10 = ⅕

In 3 days, ⅕ work is done

Entire work will be done in = 3 x 5 = 15 days

Therefore, in 15 days A can do the work if he is assisted by B and C every third day.

Summary:

## A, B, and C can do a piece of work in 20, 30, and 60 days respectively. In how many days can A do the work if he is assisted by B and C every third day? (a). 5 days (b). 20 days (c). 10 days (d). 15 days

A, B, and C can do a piece of work in 20, 30, and 60 days respectively. In 15 days A can do the work if he is assisted by B and C every third day.

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