General Aptitude › Time and Distance › Question #4671
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QA automobile travels 20 kilometres per hour from point A to point B. 1 1/2 hours later, another automobile departs from A at a speed of 30 km/h and arrives at B 2 1/2 hours before the first car. Determine the distance between A and B.

ID: #4671 Time and Distance 260 views
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#4671Q ID
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Time and DistanceTopic
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  • A 260 km ✔ ✖
  • B 240 km ✔ ✖
  • C 280 km ✔ ✖
  • D 340 km ✔ ✖
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Explanation


The distance between the two locations is given as x.

The time difference between the arrival of the two cars is given as 4 hours.

We are given that the second car starts 1.5 hours later and reaches 2.5 hours earlier than the first car.

We can use the time difference and the information about the arrival times of the two cars to find the speed of the first car and the speed of the second car. Since the second car starts 1.5 hours later and reaches 2.5 hours earlier, the time taken by the second car is 4 hours - 1.5 hours - 2.5 hours = 0.5 hours. Thus, the speed of the second car is x/0.5 = 2x/1 = 2x km/hr.

The time taken by the first car is 4 hours. Thus, the speed of the first car is x/4 = x/4 km/hr.

We can use the speed of the first car and the speed of the second car to find the distance between the two locations. Since the speed of the first car is x/4 km/hr and the speed of the second car is 2x km/hr, we can set up the following equation: x/4 - 2x/4 = 4.

Solving for x, we get x = 240 km.

Therefore, the distance between the two locations is 240 km.
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