A and B are two cars travelling to a destination which is 360 kilometres away.…
2025
A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12?
- A.
2.5 hours
- B.
2 hours
- C.
3 hours
- D.
1 hour
Attempted by 56 students.
Show answer & explanation
Correct answer: C
Key insight: use the distance ÷ time to find speeds, then apply the given ratio to find B's speed and time.
Find A's speed: 360 km ÷ 4 h = 90 km/h.
Use the speed ratio 9:12. If A = 9 parts = 90 km/h, then 1 part = 10 km/h, so B = 12 parts = 120 km/h.
Find B's time: 360 km ÷ 120 km/h = 3 hours.
Therefore, the correct time for B to reach the destination is 3 hours.