InterviewSolution
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A Can Complete A Work In 12 Days With A Working Of 8 Hours Per Day. B Can Complete The Same Work In 8 Days When Working 10 Hours A Day. If A And B Work Together, Working 8 Hours A Day, The Work Can Be Completed In --- Days. |
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Answer» A can complete the work in 12 DAYS working 8 hours a day => Number of hours A can complete the work = 12×8 = 96 hours => Work done by A in 1 hour = 1/96 B can complete the work in 8 days working 10 hours a day => Number of hours B can complete the work = 8×10 = 80 hours => Work done by B in 1 hour = 1/80 Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480 => A and B can complete the work in 480/11 hours A and B WORKS 8 hours a day Hence total days to complete the work with A and B working TOGETHER = (480/11)/ (8) = 60/11 days = 5 5/11 days A can complete the work in 12 days working 8 hours a day => Number of hours A can complete the work = 12×8 = 96 hours => Work done by A in 1 hour = 1/96 B can complete the work in 8 days working 10 hours a day => Number of hours B can complete the work = 8×10 = 80 hours => Work done by B in 1 hour = 1/80 Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480 => A and B can complete the work in 480/11 hours A and B works 8 hours a day Hence total days to complete the work with A and B working together = (480/11)/ (8) = 60/11 days = 5 5/11 days |
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