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P can do $$\frac{1}{4}$$ th of work in 10 days. Q can do 40% of work in 40 days and R can do $$\frac{1}{3}$$ rd of work in 13 days. Who will complete the work first ?

A. P

B. Q

C. R

D. Both P and R

Answer: Option C

Solution(By Examveda Team)

P complete $$\frac{1}{4}$$ th of work in 10 days
So, P will complete the whole work in 40 days.
Q completes $$\left( {40\% = \frac{2}{5}{\text{th}}} \right)$$   work in 40 days
Q will complete the whole work in = $$\frac{{40 \times 5}}{2}$$ = 100 days
R completes $$\frac{1}{3}$$ work in 13 days
R will complete the whole work in = 39 days
Work will be finished firstly by the man who will take less days to complete it,
So, R will complete it first.

This Question Belongs to Arithmetic Ability >> Time And Work

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