Question

Raju can do a piece of work in 10 days, vickyin12days,tinkuin15days.Theyall started work together, but raju leavesafter 2days,vickyleaves3daysbeforethework is completed. In how many days work is completed?

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.