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Question

Rahul can do 12 of a piece of work in 6 days ,while Rohit can do 14 of the same work in 2 days . in how many days can both do it together?

A
6
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B
5
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C
4
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D
7
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Solution

The correct option is A 6
We should use rate=worktime

Rahul's rate =(12)6=112

Rohit's rate =(14)2=18

Now, combined rate of Rahul and Rohit is 112+18

=224+324=524

How many days does it take them, working together, to finish the job?
Work=1
When work is 1, rate and time are inversely proportional (OR)
time=1rate

time=1(524)

time=245=445 days

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