Question

Madhu and Meena can do a piece of work in 9 hours. Meena and Mamta can do it 12 hours and Madhu and Mamta can do it in 18 hours. in how many hours will they will finish the work together and separately?

Answer 1

Explanation:

Madhu and Meena (a+b)can do a piece of work in 1/9 hours.

Meena and Mamta (b+c)can do it 1/12 hours

Madhu and Mamta (a+c)can do it in 1/18 hours

2(a+b+c)=1/9+1/12+1/18

LCM=9,12and18=36

a+b+c=9/36*2

a+b+c=1/2

A has done work in =1/2 -1/12=5/12

B has done work in =1/2 -1/18=4/9

C has done work in =1/2 -1/9=7/18