Question
Ananya and Riya can complete a task in 20 hours and 40
hours respectively. Ananya works alone for 10 hours and then Riya finishes the remaining task. How long does it take to complete the entire work?Solution
ATQ,
Let total work = LCM of 20 and 40 = 40 units Work done by Ananya in one hour = 40 / 20 = 2 units Work done by Riya in one hour = 40 / 40 = 1 unit Work done by Ananya in 10 hours = 10 × 2 = 20 units Remaining work = 40 – 20 = 20 units Time Riya takes to finish = 20 / 1 = 20 hours Total time = 10 + 20 = 30 hours
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