CAT 1997 — QA Question 37
Answer the next 2 questions based on the following information.
The Weirdo Holiday Resort follows a particular system of holidays for its employees. People are given holidays on the days where the first letter of the day of the week is the same as the first letter of their names. All employees work at the same rate.
Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja?
Answer & solution
4 days
- B
5 days
- C
Either (a) or (b)
- D
Cannot be determined
25th February, 1996 was a Sunday. [This can be calculated based on the concept of Calendars]
Raja worked from 25th Feb till 2nd March i.e. for 7 days.
Assuming each person does completes 1 unit of work every day.
⇒ Work done by Raja in 7 days = 7 × 1 = 7 units.
Now this work (7 units) has to be completed by T & J together.
On 25th Feb, i.e., Sunday both T & J would be working, hence they will complete 2 units of work.
∴ Total work done by them so far = 2 units.
On 26th Feb, i.e., Monday both T & J would be working, hence they will complete 2 units of work.
∴ Total work done by them so far = 2 + 2 = 4 units.
On 27th Feb, i.e., Tuesday only J would be working, hence they will complete 1 unit of work.
∴ Total work done by them so far = 2 + 2 + 1 = 5 units.
On 28th Feb, i.e., Wednesday both T & J would be working, hence they will complete 2 units of work.
∴ Total work done by them so far = 2 + 2 + 1 + 2 = 7 units.
∴ Both of them can finish the entire work in 4 days.
Hence, option (a).