Stan and Hilda can mow the lawn in 20 min if they work together. If Hilda works

Question

Stan and Hilda can mow the lawn in 20 min if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?

Explanation / Answer

Dear Student Thank you for using Chegg !! Let the total work of mowing the lawn be x Time taken to compete the task when both Stan and Hilde work = 20 mins Given Hilda works twice as fast as Stan = => Stan took twice the time taken by Hilda If Hilda took t minutes then Stan took 2t minutes to complete x job Work done by Hilda in 1 min = x/t Work done by Stan in 1 min = x/2t Time taken when both both work together = x/(x/t + x/2t) = (2/3)t => (2/3)t = 20 t = 30 mins =>Hilda took 30 minutes to complete the task alone Stan took 60 minutes t complete the task alone

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