x can do a piece of work in 20 days and Y can do the 1/7th of the same work in 5 days. In how many days together they can complete the 11/14th of the total work?

x can do a piece of work in 20 days and Y can do the 1/7th of the same work in 5 days. In how many days together they can complete the 11/14th of the total work? Correct Answer 10 days

y can do in 1 day = 1/(7x5) = 1/35 x & y can do in 1 day = 1/20 + 1/35 = 11/140 Now, 11/140 work is done in 1 day So, 1 work is done in 140/11 day So, 11/14 work is done in (140x11)/(11x14) = 10 days
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