Two cities, Bhilai and Manmad, are 465 km apart. A car starts from Bhilai towards Manmad at 10:00 AM with a speed of 65 km/h. Another car leaves Manmad towards Bhilai at 11:00 AM with a speed of 35 km/h. At what time do the two cars meet?

3:00 PM
8:00 PM
3:00 AM
4:00 PM

Correct answer: 3:00 PM

Solution

From 10 AM to 11 AM, the first car covers 65 km. So the remaining distance is 465 - 65 = 400 km. After 11 AM, the cars move towards each other with relative speed 65 + 35 = 100 km/h, so they meet after 4 hours, i.e. at 3:00 PM.

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