Question 48
How many hours will Atul , Shiva, Sapan take to finish their assignment together if Atul alone can do it in six hours more , Shiva alone do it in one hour more ,and Sapan alone in twice the time?
Solution
Let time taken by Atul, Shiva and Sapan together to finish the work = 'x' hours
Time taken by Atul alone to finish the work = (x + 6) years
Time taken by Shiva alone to finish the work = (x + 1) years
Time taken by Sapan alone to finish the work = 2x years
Now,
$$\frac{1}{x + 6} + \frac{1}{x + 1} + \frac{1}{2x} = \frac{1}{x}$$
$$x = \frac{2}{3}$$ hours
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