CAT 1995 — QA Question 22
Direction: Answer the questions based on the following information.
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs.32.
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
- 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).