Question

Raju can do a piece of work in 10 days, vicky in 12 days, tinku in 15 days. they all started work together, but raju leaves after 2 days, vicky leaves 3 days before the work is completed. in how many days work is compelted?

Answer 1

Raju can do piece of work in 10 days.

Work Rate of Raju = 100/10 = 10% per day.

Vicky can do piece of work in 12 days.

Work rate of Vicky = 100/12 = 8.33% per day.

Tinku can do piece of work in 15 days.

Work rate of Tinku = 100/15 = 6.66% per day.

In first 2 days, all three together do the work

= 2*(10 + 8.33 + 6.66) = 50% work.

In last three days, Tinku completed,

= 3 * 6.66 = 20% work.

Rest work = 100 - 20 + 50 = 30%.

30% work has been completed by Vicky and Tinku with combined work rate of (8.33 + 6.66 = 15% per day).

Thus, they take two days to complete the 30% of work with work rate 15% per day.

Hence, whole work completed in,

= 2 + 2 +3 = 7 days.