Question

ramesh complete 1/5 work in 12 hours.Mahesh complete 1/6 work in 15 hours.howmuch times will be taken it they do this work combining.

Answer 1

Answer:

36 hours

Step-by-step explanation:

Ramesh's speed = 1/5 work units  per 12 hours

= ( 1/5  /  12 )  ( work units per hour )

= 1 / 60  work units per hour

Mahesh's speed = 1/6 work units per 15 hours

= (1/6  /  15 )  ( work units per hour )

= 1 / 90  work units per hour

Combined speed

= ( 1 / 60  +  1 / 90 )  work units per hour

= ( 3 / 180  +  2 / 180 )  work units per hour

= 5 / 180  work units per hour

= 1 / 36 work units per hour

Time  =  work units done  /  speed

    =  ( 1 work unit ) / ( 1/36 work units per hour )

    = 36 hours