P and q can do a work in 30 days. Q and r can do the same work in 24 days and r and p in 20 days. They started the work together, but q and r left after 10 days. How many days more will p take to finish the work?
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anybody help me for this question
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Answer:
12
Step-by-step explanation:
Work done by P in 1 day = 1/15
Work done by Q in 1 day = 1/10
Work done by P and Q in 1 day = 1/15 + 1/10 = 1/6
Work done by P and Q in 2 days = 2 × (1/6) = 1/3
Remaining work = 1 – 1/3 = 2/3
Time taken by P to complete the remaining work 2/3 = (2/3) / (1/15) = 10 days
Total time taken = 2 + 10 = 12 days
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