Question 82

Amit can do a work in 12 days and Sagar in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is:

Solution

Let the total work be LCM of (12, 15) = 60 units.

Amount of work done by Amit on one day = $$\ \frac{\ 60}{12}$$ = 5 units

Amount of work done by Sagar on one day = $$\ \frac{\ 60}{15}$$ = 4 units

Amount of work completed by them on 4 days = (5+4)*4 = 36 units

The amount of work left out = 60-36 = 24 units.

Fraction of work left out = $$\ \frac{\ 24}{60}$$

=$$\ \frac{\ 2}{5}$$

C is the correct answer.

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