Question 54

Surbhi can do a piece of work in 24 days. She completed $$\frac{3}{8}$$ of the work and then left it. Amita complete the remaining work in 10 days. Working together, they will complete 125% of the same work in:

Solution

Let total work to be done be = 24 units

Surbhi complete 24 units in 24 days, => Surbhi's efficiency = $$\frac{24}{24}=1$$ unit/day

Work done by her = $$\frac{3}{8}\times24=9$$ units

Remaining work, i.e. 15 units is done by Amita in 10 days, => Amita's efficiency = $$\frac{15}{10}=1.5$$ units/day

$$\therefore$$ Time taken by them to complete 125% of work = $$\frac{30}{2.5}=12$$ days

=> Ans - (C)


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