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Kinshook
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harshi17
hello
how did you get 4 units/hr?
35/8.75=4
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Kinshook
Andy can finish a work in 7 hours and Bob can finish the same work in 5 hours. They started doing the work together at 0900 hrs in the morning. They worked together for 2 hours. Then they both left the work and after an hour, the remaining work is completed by Candy who can finish the same work in 8.75 hrs. What will be the time when the work will be finished?

A. 14:00 hrs
B. 15:45 hrs
C. 14:45 hrs
D. 15:00 hrs
E. 13:30 hrs

Rate of Andy = 1/7 work/hour
Rate of Bob = 1/5 work/hour

Andy and Bob together:

Rate of Andy & Bob = 1/7 + 1/5 = 12/35 work/hour
Time = 2 hours
Work = Rate × Time = 12/35 × 2 = 24/35 work

Candy alone:

Rate of Candy = 1/8.75 work/hour = 4/35 work/hour
Work = 1 – 24/35 = 11/35 work
Time = Work/Rate = (11/35)/(4/35) = (11/35)(35/4) = 11/4 = 2.75 hours

Finish time = 9:00 hrs + (2 + 1 + 2.75) hours = 14:45 hrs

Answer: C
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