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.?
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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.
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