Question

Daku and Tamatar can do a piece of work in 70 and 60 days respectively. They began the work together, but Daku leaves after some days and Tamatar finished the remaining work in 47 days. After how many days did Daku leave?​

Answer 1

Tamatar would have done 47/60 work in 47 days. The remaining work i.e. 13/60 must have been done by Daku and Tamatar together. They can do the whole work in 60 × 70 / (60 + 70) = 60 × 70/130 = 420/13 days.

So, they would have done 13/60 work in 420/13 × 13/60 = 7 days. Therefore, Daku left the work after 7 days.

Answer 2

Answer:

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Step-by-step explanation:

Tamatar would have done 47/60 work in 47 days.

The remaining work i.e.

13/60 must have been done by Daku and Tamatar together.

They can do the whole work in 60 × 70 / (60 + 70) = 60 × 70/130 = 420/13 days.

So,

they would have done 13/60 work in 420/13 × 13/60 = 7 days.

Therefore, Daku left the work after 7 days.

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