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rakesh can complete a job in 6 days.raman can complete in x days. If both can complete in 4 days then find x .

Answer»

HEY there!!

Rakesh is ABLE to complete a job in 6 days. Then, in one day he is able to complete 1/6th of the work. Hence, Rakesh work rate is 1/6.

Raman can finish the work in x days. Then, he is able to complete 1/x th work in one day. Hence, the work rate for Raman in 1/x.

Both of them together complete the work in 4 days. If they work together, in one day, 1/4th of the work is done.

Now,we can write the equation as :

\frac{1}{6}+\frac{1}{x} = \frac{1}{4}

\frac{1}{x} = \frac{1}{4}-\frac{1}{6}

\frac{1}{x} = \frac{1}{12}

x = 12

Hence, Raman completes the work in 12 days.

HOPE it helps!


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