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)
Step 1: Find rate of work for each person
(A) P can do 1/3 of the work in 5 days
- Work done per day = $(1/3)/5 = 1/15$ of work/day
- Total days to complete 1 work = 15 days
(B) Q can do 1/6 of the work in 4 days
- Work per day = $(1/6)/4 = 1/24$ of work/day
- Total days = 24 days
(C) R can do 25% = 1/4 of work in 4 days
- Work per day = $(1/4)/4 = 1/16$ of work/day
- Total days = 16 days
(D) S can do 35% = 35/100 = 7/20 of work in 7 days
- Work per day = $(7/20)/7 = 1/20$ of work/day
- Total days = 20 days
Step 2: Arrange in ascending order of total days
- P = 15 days
- R = 16 days
- S = 20 days
- Q = 24 days
Ascending order: A, C, D, B