Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run

Question

Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr. Car X stops at 10 a.m. and again starts at 11 a.m. while the other car Y continues to run without stopping. When do the two cars cross each other?

Accepted Answer

Total distance between A and B is 700 km. Both cars start at 9 a.m. at 60 km per hour.

By 11 a.m., Car Y has travelled for 2 hours, covering 120 km. Car X travelled for 1 hour from 9 to 10 a.m., covering 60 km, and was stationary from 10 to 11 a.m.

At 11 a.m., the total distance covered by both is 120 plus 60, which equals 180 km. The remaining distance between them is 700 minus 180, which equals 520 km.

From 11 a.m. onwards, both cars are moving towards each other at 60 km per hour each. Their relative speed is 60 plus 60, which equals 120 km per hour.

The time taken to cover the remaining 520 km is 520 divided by 120. This equals 4 hours and 20 minutes.

Adding 4 hours and 20 minutes to 11 a.m. gives 3:20 p.m. Therefore, the cars cross each other at 3:20 p.m.

Answer

2: 40 p.m.

Answer

3: 20 p.m.

Answer

4: 10 p.m.

Answer

4: 20 p.m.

Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr. Car X stops at 10 a.m. and again starts at 11 a.m. while the other car Y continues to run without stopping. When do the two cars cross each other?

Explanation

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