CAT 1997 — QA Question 2
Answer the next 3 questions based on the following information.
A certain race is made up of three stretches: A, B and C, each 2 km long, and to be covered by a certain mode of transport. The following table gives these modes of transport for the stretches, and the minimum and maximum possible speeds (in km/hr) over these stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is 10 min.
âââââââ
Mr Hare completes the first stretch at the minimum speed and takes the same time for stretch B. He takes 50% more time than the previous record to complete the race. What is Mr Hare's speed for the stretch C?
Answer & solution
- A
10.9 km/hr
13.3 km/hr
- C
17.1 km/hr
- D
None of these
The minimum speed in stretch A is 40 km/hr. If Mr Hare travels the first stretch at this speed, then the time taken by him to cover this stretch = = 3 min. Also he takes 3 min to cover stretch B. And he covers the entire race in (1.5 × 10) = 15 min. This means that he should have taken (15 – 3 – 3) = 9 min to cover stretch C. Hence, his speed over this stretch should be = 0.22 km per minute or 13.3 km/hr.