Question 59

A, B and C can complete a piece of work in 4, 20 and 60 days respectively. Working together, they can complete the same work in how many days ?

Solution

A, B and C can complete a piece of work in 4, 20 and 60 days respectively.
Now let the total work be 60 units
Therefore work of A will be 15 units / day
Work of B will be 3 units/ day
and Work of C will be 1 unit/day
Now together they do 15+3+1 = 19 units /day
Now therefore time taken to complete = 60/19 days = $$3\ \frac{3}{19}\ days$$


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