Question

A finished the work in 4hrs b and c together in 3 hrs and ac together 2 hrs then alone b finished work how many hrs?

Answer 1

Answer:

12 hours

Step-by-step explanation:

Find LCM of 4,3,2 = 12

So let there be 12 works

A finishes it in 4 hours ⇒ A does 12/4 = 3 works in an hour

A and C  finishes it in 2 hours ⇒ A & C does 12/2 = 6 works in an hour

So C does = (A+C) - A = 6-3 = 3 works in an hour

B and C  finishes it in 3 hours ⇒ B & C does 12/3 = 4 works in an hour

So B does = (B+C) -C = 4-3 = 1 work in an hour

So time required for B to complete the work = 12/1 = 12 hours

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