Arrange the following cases in ascending order in terms of number of days to complete the same work.
(A) P can do (1/3)rd of the work in 5 days.
(B) Q can do (1/6)th of the work in 4 days.
(C) R can do 25% of the work in 4 days.
(D) S can do 35% of the work in 7 days.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (C), (D), (B)
If a person does a fraction \(f\) of the work in \(d\) days, working at the same rate he needs \(d\div f\) days for the whole work.
(A) P can do (1/3)rd of the work in 5 days. — whole work in \(5\times3=\) 15 days.
(C) R can do 25% of the work in 4 days. — 25% is \(\frac{1}{4}\), so the whole work takes \(4\times4=\) 16 days.
(D) S can do 35% of the work in 7 days. — 7 days for 35% is 1 day for 5%, so 100% takes \(20\times1=\) 20 days.
(B) Q can do (1/6)th of the work in 4 days. — whole work in \(4\times6=\) 24 days.