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?

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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