Discussion
Praveen can complete a piece of work in 30 days, while Mohit can finish it in 25 days. They work together for 10 days, after which Praveen leaves. How many more days will Mohit take to complete the remaining work ?
Answer: B
Mohit needs 20/3 days more.
Praveen does 1/30 of the work a day and Mohit 1/25. Together in 10 days they finish:
\[ \begin{aligned} 10 \left( \tfrac{1}{30} + \tfrac{1}{25} \right) &= 10 \times \tfrac{11}{150} \\ &= \tfrac{11}{15} \end{aligned} \]
That leaves \(\tfrac{4}{15}\) of the work for Mohit alone:
\[ \tfrac{4}{15} \times 25 = \tfrac{20}{3} \text{ days} \]
That is 6 days and 8 hours. 16/3 and 14/3 days would leave work undone, and 22/3 days is more than the remaining work needs.
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