Question

Tejas can complete as much work in 4 days as aniket in 5 days.ketan can complete as much as work in 5 days as aniket in 3 days. If tejas can complete a work, in what time would ketan complete the work ?

Answer 1

Answer:

Ketan will complete the work in 4.375 days.

Given Data:

Tejas complete work = 4 days

Aniket complete work = 5 days

Ketan complete work = 5 days

To Find:

Time taken for Ketan to complete the work?

Step 1:

Tejas can do a work in 4 days.

Work rate of Tejas =$\frac{100}{4}$ = 25% per day

Work rate of Aniket =$\frac{100}{5}$ = 20% per day.

Step 2:

So, Aniket can complete work in 5 days = $20\times 5$ = 100%

Thus, work rate of Ketan = $\frac{120}{3}$= 40% per day.

Step 3:

In 5 days, Tejas can complete = 7 $\times$ 25 = 175% work.

Step 4:  

So, Ketan will take = $\frac {175}{40}$= 4.375 days.