Question

Raju can do work in 10 days and vishnu can do work in 12 days and tinku works in 15 days tjey all started work together and raju leaves in 2 days and vishnu leaves in 3 days how many days will taken to complete the work

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.