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50 persons are employed to complete a work in 30 days working 12 hours each day. Due to some reason, they work for only 10 hours for the first 15 days. After this, 10 persons leave the work and rest continues the work as before. How many more days are needed to complete the work than the actually estimated time?
11 1/4 days
12 2/3 days
10 1/2 days
12 days
Explanation: 50 men work for 10 hours for first 15 days. Let they complete x work So 50 * 12 * 30 * x = 50 * 10 * 15 * 1 Solve, x = 5/12 So remaining work = 7/12 which is to be done by 40 men (as 10 men leave after 15 days). Let they complete work in y days. So 50 * 12 * 30 * 7/12 = 40 * 10 * y * 1 So y = 105/4 days So extra days = 105/4 – 15 = 45/4 days = 11 1/4 days
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