A truck departed from city A to city B at 12:00, traveling at a steady speed of 50 km/h. An hour later, a car began its journey from city B to city A on the same route, moving at a constant speed of 90 km/h. Given that the distance between A and B is 200 km, at what time will the truck and the car encounter each other?

Answer Choices

Correct answer marked below

12:50

13:00

14:00

Correct

14:50

15:00

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Explanation

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Official Explanation

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To visualize the situation, we can sketch a diagram. The truck leaves A at 12:00 and travels for 1 hour at 50 km/h, covering 50 km by 1:00. Therefore, at 1:00, the truck is 50 km away from A, leaving 150 km to B. At this point, the car departs from B. The truck and car are now moving towards each…

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Comments

KushalDec 5, 2024

Thank you very much!

ElouanAug 19, 2024

Thank you very much!

What this question tests

What it tests

Your application of distance = rate × time to trains, boats, and commuters, including relative speed.

Common trap

Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.