CAT 2005 — QA Question 6
Answer the next 2 questions based on the information given below.
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.
At what time do Ram and Shyam first meet each other?
Answer & solution
- A
10:00 a.m.
10:10 a.m.
- C
10:20 a.m.
- D
10:30 a.m.
The distance between points A and B is 5 km.
Ram starts at 9 a.m. from A at a speed of 5 km/hr. So, he reaches B at 10:00 a.m.
When Ram reaches B (i.e. at 10.00 a.m., or 15 minutes after Shyam started from A), Shyam (running at a speed of 10 km/hr) is 15/60 × 10 = 2.5 km away from A.
Ram meets Shyam = 10 minutes after 10:00 a.m., i.e. at 10:10 a.m.
Hence, option (b).