Time and Work

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A and B working together can finish a job in T days. If A works alone and completes the job, he will take T+5 days. If B works alone and completes the same job, he will take T+45 days. What is T?


25 Days


60 Days


15 Days


None of these

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Option(C) is correct

When $A$ and $B$ work together, they will take $\sqrt{5}×15=\sqrt{225}=$ 15 days.

Where 5 and 45 are the extra time that $A$ and $B$ take to complete the job if they work alone compared to the time that they will take if they worked together.

(1) Comment(s)

Vaibhav Gupta

It can also be solved by solving this equation

1/T+5 +1/T+45 =1/T