Question
An elephant can do a work as fast as two horses
lsquo;Arsquo; and lsquo;Brsquo; can do it by working together. If horse lsquo;Arsquo; alone can complete the work in 15 hours and horse lsquo;Brsquo; in 30 hours, then find the time taken by elephant to complete the work.Solution
Let the total work = 30 units Efficiency of horse who can complete the work in 15 hours = 30/15 = 2 units/hour Efficiency of horse who can complete the work in 30 hours = 30/30 = 1 units/hour Therefore, time taken by both horses to complete the work together = 30/(2 + 1) = 10 hours Therefore, time taken by the elephant to complete the work = 10 hours
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