QUESTION

CSAT

Medium

Maths

Prelims 2014

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 5050 km and 3030 km per hour respectively, they will meet each other at

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Explanation

Distance between A and B = 160160 km Speed of car 1 (from A) = 5050 km/h Speed of car 2 (from B) = 3030 km/h When two objects move towards each other, their relative speed is the sum of their individual speeds:

Relative speed = 5050 km/h + 3030 km/h = 8080 km/h

Now, to find the time taken to meet, we use the formula:

Time = Distance / Relative speed Time = 160160 km / 8080 km/h = 22 hours

The cars start at 08:10 AM, so they will meet after 2 hours. 08:10 AM + 2 hours = 10:10 AM

Therefore, the two cars will meet at 10:10 AM.

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