Question
A man and woman working on alternate days can finish a
work in 15 days if the man works on the first day. The same work is finished in 14.5 days if they work on alternate days and if the woman starts on the first day. The work will be finished by a man alone in _____ days.Solution
When the man and woman work on alternate days, starting with the man, they complete the work in 15 days. This means the man works for 8 days and the woman for 7 days. Similarly, if they start with the woman, the work is completed in 14.5 days, so the woman works for 7.5 days and the man for 7 days. We can say – 8M+7W =7M+7.5W M=0.5W M/W =1/2 Now total work =8M+7W =8+14=22unit. So efficiency of 1 man =22/1 =22days.
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