Question

A can finish a job in 3 days and B can finish the same job in 6 days , how many days will it take both of them working together to finish the job

Answer 1

A finish a job in = 3 days
A 1 day work = 1/3


B finish a job in = 6 days
B 1 day work = 1/6


a+b 1 day work = 1/3 +1/6

= 3/6
=1/2
hence they both will finish work in 1/1/2=2.

so ans. is 2 days
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Answer 2

Work done by A in 3 days =1
so,work done by A in 1 day =1/3.

Work done by B in 6 days =1.
so Work done by B in 1 day=1/6.

in 1 day work done by both A and B=1/3+1/6
=6+3/18
=9/18
=1/2.

1/2 of work in done by A and B in 1 day
sò,complete work is done by them in=1÷1/2
=1×2
=2 days.

hence A and B together complete 1 work in 2 days..