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Time and Work

Rahul can do ...

Question

Rahul can do 2/7 of a certain work in 6 days while Suresh can do 3/5 of the same work in 9 days. They started work together but after 7 days Tahul left the work. Find in how many days Suresh can complete the remaining work?

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Solution

Rahul, 2/7 = 6
whole work in 21
Suresh, 3/5 = 9
whole work in 15
work together = 1/15+1/21 = 12/105
together 7 days = 712/105 = 12/15
work done by 4/5
remaining work 1-4/5 = 1/5
Suresh done 1/5 work in 1/515 = 3days

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