Two trucks travel from City X to City Y along the same route. Truck A travels at a speed of 60 miles per hour, while Truck B travels at a speed of 75 miles per hour. If Truck A leaves City X at 10:00 AM and Truck B leaves City X at 10:30 AM, at what time will Truck B catch up to Truck A?

Answer Choices

Correct answer marked below

11:30 AM

12:00 PM

12:30 PM

Correct

1:00 PM

1:30 PM

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Explanation

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Official Explanation

Official

To find out when Truck B catches up to Truck A, we first determine the head start that Truck A has. Since Truck A leaves at 10:00 AM and Truck B leaves at 10:30 AM, Truck A has a 30-minute head start. In that time, Truck A travels:

Distance = Speed × Time = 60 miles/hour × 0.5 hours = 30 miles.

Now, we need to find out how long it takes for Truck B to catch up to Truck A. The relative speed between Truck B and Truck A is:…

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Comments

LakshmiMay 1, 2025

Amazing

JakobFeb 17, 2025

Thank for sharing!!!

ThitiratJun 19, 2024

Can someone explain it other way?

YashMar 23, 2024

Thanks

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.