Question

Working alone Anand can make a cabinet in 8 day. While bheem will take 16days more than Anand to do the same work. Anand and Bheem along with the help of Chitra's completes the work in 5 days. If they are paid Rs 18000 for the job. Find Chitra's share.

Answer 1

Answer:

Chitra's share is 4500 - x.

Step-by-step explanation:

Let Chitra can make a cabinet in x days.

Given, Anand can make a cabinet in 8 days

Bheen can make a cabinet in 8 + 16 = 24 days.

Chitra's one day work = 1/x

Anand's one day work = 1/8

Bheem's one day work = 1/24

By condition,

1/x + 1/8 + 1/24 = 5

1/x = 5 - 1/8 - 1/24

1/x = 120 - 3 - 24 / 24

1/x = 120 - 27 / 24

1/x = 93 / 24

93x = 24 => x = 24/93 = 8/31

Chitra can make a cabinet in 31/8 days.

Since, Anand can complete the work 3 times faster than Bheem. So, it is obvious that Anand will get 3 times more money than Bheem and Chitra will receive the remaining.

By condition,

x + 3x + Chitra sharing = 18000

4x + Chitra sharing = 18000

x + Chitra sharing = 18000/4 = 4500.

Chitra sharing = 4500 - x (ans).