Question

Ram, shyam and hari can complete a work in 24,32,and 64 days respectively. They worked together for 6 days. Then ram left the work. If shyam also left the work before 6 days to complete the work, how many days took place to complete the work.?

Answer 1

Hey Dear,

◆ Answer -

20 days

◆ Explaination -

Given that Ram, shyam and hari can complete a work in 24,32,and 64 days respectively. Thus, they'll complete 1/24 th part, 1/32 th part and 1/64 th part of work in each day.

Let x be the no of days taken to complete the work.

So according to given conditions,

Ram × 6 + Shyam × (x-6) + Hari × x = 1

1/24 × 6 + 1/32 × (x-6) + 1/64 × x = 1

1/4 + (x-6)/32 + x/64 = 1

16 + 2x - 12 + x = 64

3x = 60

x = 20 days

Therefore, total 20 days were taken to complete the work.