Question

Working together, anu and manu can do a job in 10 days. manu and tanu can do the same job in 12 days, while tanu and anu can do it in 15 days. how long will it take if all anu, manu and tanu work together to complete the job?

Answer 1

Acc to the ques, working together, anu and manu can do a job in 10 days,

manu and tanu can do the same job in 12 days and tanu and anu can do it in 15 days.

We can write it as:

1/A + 1/M = 1/10 . ----------------------- (i)

1/M + 1/T = 1/12 . ----------------------- (ii)

1/T + 1/A = 1/15 . ----------------------- (iii)

1/A - 1/T = 1/60 --------------------------(iv)

2/A = 1/12 or, 1/A = 5/120.

1/M = 7/120; 1/T = 3/120.

Togetherly they can do, 120/15 days = 8 days.