Two cars are moving in the same direction with a speed of 45 km/hr and a distance of 10 km separates them. If a car coming from the opposite direction meets these two cars at an interval of 6 minutes, its speed would be

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Q: 12 (CAPF/2013)
Two cars are moving in the same direction with a speed of 45 km/hr and a distance of 10 km separates them. If a car coming from the opposite direction meets these two cars at an interval of 6 minutes, its speed would be

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,13,10,5,13,4,1

keywords: 

{'distance': [0, 3, 3, 3], 'speed': [0, 1, 2, 0], 'cars': [0, 0, 5, 5], 'car': [0, 2, 12, 17], 'minutes': [0, 0, 1, 1], 'km': [0, 0, 2, 1], 'interval': [2, 0, 2, 4], 'opposite direction': [0, 0, 1, 2]}

Option 1: 45 km/hr

This option suggests that the speed of the car coming from the opposite direction is the same as the speed of the two cars. However, this is incorrect because the car coming from the opposite direction and the two cars moving in the same direction are not traveling at the same speed.

Option 2: 55 km/hr

This is the correct answer. The car coming from the opposite direction meets the two cars at an interval of 6 minutes. Since the two cars are traveling at a speed of 45 km/hr and there is a distance of 10 km separating them, the relative speed of the car coming from the opposite direction is the sum of their speeds, i.e., 45 km/hr + 45 km/hr = 90 km/hr.

To convert this relative speed to the speed of the car coming from the opposite direction, we divide it by the time interval of 6 minutes (or 1/10 hours). So, the speed of the car coming from the opposite direction is 90 km/hr divided by 1/10 hours, which equals 900 km/hr.

Option 3: 65 km/hr

This option suggests that the speed of the car coming from the opposite direction is 65

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