Amalesh and Kamalesh individually can do a work in 6 hours and 12 hours respectively. Amalesh worked for first two hours and then left. How long will Kamlesh take to finish the remaining part of the work?
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Amalesh and Kamalesh individually can do a work in 6 hours and 12 hours respectively. Amalesh worked for first two hours and then left. How long will Kamlesh take to finish the remaining part of the work?
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Answer:
Let's denote the total work as \( W \).
Amalesh can complete the work in 6 hours, so in 1 hour, he completes \( \frac{1}{6} \) of the work.
Kamalesh can complete the work in 12 hours, so in 1 hour, he completes \( \frac{1}{12} \) of the work.
Now, Amalesh worked for the first two hours, so the amount of work he completed is \( 2 \times \frac{1}{6} \).
The remaining work is \( W - 2 \times \frac{1}{6} \).
Now, Kamalesh will complete the remaining work at a rate of \( \frac{1}{12} \) per hour.
To find the time Kamlesh will take to finish the remaining work, we can use the formula \( \text{Time} = \frac{\text{Work}}{\text{Rate}} \).
\[ \text{Time} = \frac{W - 2 \times \frac{1}{6}}{\frac{1}{12}} \]
Simplify this expression to find the time Kamlesh will take to finish the remaining work.