Multiple choice

Two friends, Aman and Raman, are going to Ahmedabad from Delhi via Jaipur. Aman starts at 8 am from Delhi and maintains a speed of 50 kmph up to Jaipur and 60 kmph from Jaipur to Ahmedabad, whereas Raman leaves Delhi at 9:45, maintaining a speed of 60 kmph from Delhi to Jaipur and 80 kmph from Jaipur to Ahmedabad. Both Aman and Raman reach Ahmedabad at 4 pm. At what time does Raman reach Jaipur?

  1. 12:00 pm

  2. 12:15 pm

  3. 1:00 pm

  4. 1:45 pm

  5. 2:00 pm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Aman reaches at 4 pm. Total time = 8 hours. Let distance Delhi-Jaipur be D1 and Jaipur-Ahmedabad be D2. D1/50 + D2/60 = 8. Raman reaches at 4 pm, leaves at 9:45 am. Total time = 6.25 hours. D1/60 + D2/80 = 6.25. Solving the system: D1 = 150, D2 = 360. Raman reaches Jaipur at 9:45 + 150/60 = 9:45 + 2.5 hours = 12:15 pm.

Keep practicing — related questions