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twowomen ganga andsaraswati ,working separately canmown a field in 8 and 12 hrsrespectively . if they work instretches of one hour alternatelynga beginning at 9am ,when willthe moving be finished.

Mohini
21 Apr
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4 Answers

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Shruti
02 Mar

Whenever, workers are working alternatively on one work, we take 2 as 1 unit. In this case, we take 2 hours as 1 unit. Part of the field moved by Ganga and Saraswati in 2 hours (1 unit) = 1/8 + 1/12 = 5/24; Time taken to complete the work, = 1/(5/24) = 24/5 unit of time; Then actual time taken by them to complete the work, = 24*2/5 = 9.5 hours. The work starts at 9 a.m. then it will complete at 6:30 pm.