Two vehicles departed from the same location and moved in opposite directions for a duration of 2 hours, resulting in a separation of 240 miles. If one vehicle was traveling at an average speed that was 10 miles per hour greater than the other, what was the average speed of the faster vehicle during the 2-hour journey?

Answer Choices

Correct answer marked below

40 mph

50 mph

60 mph

65 mph

Correct

70 mph

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

Let the speeds of the two vehicles be v mph and v + 10 mph. The distance covered by these vehicles in 2 hours is 2v and 2(v + 10). Therefore, we have the equation: 2v + 2(v + 10) =…

Read the full explanation

Create free account Sign in

Comments

sprinkieeFeb 21, 2025

thanks a lot

AnkitSep 17, 2024

thanks

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.