CSATTime, Speed & DistanceSpeed Time Distance2014

Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time 08:10 AM. If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at

A

10:10 AM

B

10:30 AM

C

11:10 AM

D

11:20 AM

Correct Answer: Option A

Explanation

1. **Understand the Scene**: Imagine the two cars are at opposite ends of a 160 km road. They start moving towards each other.\n2. **Combine the Effort**: Since they are moving towards each other, they are closing the gap together. Car A contributes 50 km every hour, and Car B contributes 30 km every hour.\n3. **Find Effective Speed**: Together, they reduce the distance by 50 + 30 = **80 km per hour**.\n4. **Calculate Time**: The total distance to cover is 160 km. At a rate of 80 km/hr, how long does it take? \n - 160 / 80 = **2 hours**.\n5. **Final Answer**: They started at 08:10 AM. Adding 2 hours brings us to **10:10 AM**.\n6. **Sanity Check**: The numbers are clean integers, and the result fits perfectly into Option A.

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