Two cars A and B leave Delhi at 8:30 a.m. and at 9 a.m. for Shimla, respectively. They travel at the speeds of 40km/h and 50
km/h respectively. How many kilometres away from Delhi will the two cars be together?
This questions was previously asked in
SSC CGL 7th March 2020 Shift-2
Explanation:
- Car A leaves at 8:30 a.m. traveling at 40 km/h.
- By the time Car B leaves at 9 a.m., Car A has already been traveling for 0.5 hours.
- Car A covers 20 km in this time (40 km/h x 0.5 hours).
- Car B starts at 9 a.m. at 50 km/h.
- To catch up with Car A, we need to calculate when the distance covered by Car B equals Car A plus the 20 km head start.
- Both cars meet when Car B has traveled the distance Car A + 20 km.
- Time taken by Car B to catch up:
- Relative speed: 50 km/h - 40 km/h = 10 km/h
- Distance to cover: 20 km
- Time = Distance ÷ Relative Speed = 20 km ÷ 10 km/h = 2 hours
- Car B's distance in 2 hours:
- Distance = Speed x Time = 50 km/h x 2 hours = 100 km
- Correct Option:
- Option 2, 100 km, is the correct choice.
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By: santosh