Question
A work can be completed by P and Q working separately in
12 and 18 days, respectively. But they work on alternate days beginning with P. How many days will it take to complete the work?Solution
Let the total work = LCM of 12 and 18= 36 A can complete work 12 days Work does in one day= 36 /12 = 3 unit B can complete work 18 days 36 Work done in one day=36/ 18 = 2 unit As they work for alternate days, In 2 days, work completed is 2 days = 3 unit + 2 unit 2 days =5 unit 14 days =35 unit The remaining work = 36-35= 1 On the last day, A has to work= days Total days= 14 days +1/3 days= 14 (1/3)days
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