Question

A and B can do a work in 30 days and 40 days respectively. A worked for 15 days and then B joined and they together completed the remaining work.If they earn $210 , what was the share of A

Answer 1

First we have got to find the LCM of 30 days and 40 days

LCM = 120

Now  A = 120/30 = 4
B = 120/40 = 3

A+ B = 3 + 4 = 7

Now lets divide the money in half
$210/2 = $ 105

A worked for 15 days then B joined.

A will receive the first $105.

Then after 15 days both A and B work.

So rest amount left is $105 ,it has to be divided between A and B

Efficiency of A = 4/7

So according to that money has to be divided
4/7 x 105 = $60

Total share of A = $105 + $60 = $165

Hope This Helps You!

Answer 2

always always always always always the correct answer is 165