CAT 1995 — QA Question 22
Two typists undertake to do a job. The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually ?
Answer & solution
Correct answer: 10 hr and 8 hr
- A
12 hr and 8 hr
- B
8 hr and 5.6 hr
10 hr and 8 hr
- D
5 hr and 4 hr
Let the first typist takes X hours and the second takes Y hours to do the whole job.
When the first was busy typing for 3 hr, the second was busy only for 2 hr.
Both of them did of the whole work.
When the assignment was completed, it was revealed that each typist had done half the work.
∴ The first one spent hr, and the second hr.
And since the first had begun one hour before the second, we have
⇒ X = 10 hr, Y = 8 hr.
Hence, option (c).