Question 54

Pradeep has done 1/4th of a job in 14 days, Saquib completes the rest of the job in 56 days. In how many days can they together complete the job?

Solution

Let total work to be done = 56 units

Pradeep has done 1/4 of a job i.e. $$\frac{56}{4} = 14$$ units in 14 days

=> Pradeep's efficiency = $$\frac{14}{14} = 1$$ unit/day

Work left = 56 - 14 = 42 units which is done by Saquib in 56 days

=> Saqub's efficiency = $$\frac{42}{56} = 0.75$$ units/day

Pradeep and Saquib 1 day's work = 1 + 0.75 = 1.75 units/day

$$\therefore$$ Time taken by them together to complete the work = $$\frac{56}{1.75} = 32$$ days


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