When they work alone, B needs 25% more time to ?nish a job than A does. They two ?nish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and ?nally B works alone to complete the remaining 5% of the job. In how many days can B alone ?nish the entire job?
Correct Answer: 1
Let us assume that A can complete 'a' units of work in a day and B can complete 'b' units of work in a day.
A works alone till half the work is completed.
A and B work together for 4 days and B works alone to complete the last 5% of the work.
=> A and B in 4 days can complete 45% of the work.
Let us assume the total amount of work to be done to be 100 units.
4a + 4b = 45 ---------(1)
B needs 25% more time than A to finish a job.
=> 1.25*b = a ----------(2)
Substituting (2) in (1), we get,
5b+4b = 45
9b = 45
b = 5 units/day
B alone can finish the job in 100/5 = 20 days.
CAT Quant Questions with Video SolutionsCAT Quant Questions Set 01
CAT Quant Questions Set 02
CAT Quant Questions Set 03
CAT Quant Questions Set 04
CAT Quant Questions Set 05
CAT Quant Questions Set 06
CAT Quant Online Course
- 1000+ Practice Problems
- Detailed Theory of Every Topics
- Online Live Sessions for Doubt Clearing
- All Problems with Video Solutions
CAT 2018 Questions Paper with Solution PDF Download