Question
Pravin can do a piece of work in 15 days and Rishi can
do it in 20 days. They work together for 5 days and then Pravin leaves. In how many days will Rishi finish the work?Solution
Pravin’s 1-day work = 1/15 Rishi’s 1-day work = 1/20 Together, their 1-day work = 1/15 + 1/20 = (4/60 + 3/60) = 7/60 Work done in 5 days = 5 × 7/60 = 35/60 = 7/12 Remaining work = 1 − 7/12 = 5/12 Now only Rishi works. His 1-day work = 1/20 Time taken by Rishi to finish remaining work = (5/12) ÷ (1/20) = (5/12) × 20 = 100/12 = 25/3 days = 8⅓ days Answer: Rishi will finish the work in 8⅓ days.
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