A cyclist starts a race at a steady speed of 12 miles per hour, decreasing their speed by 2 miles per hour every 45 minutes. How far has the cyclist gone after exactly 3 hours?

Answer Choices

Correct answer marked below

30 miles

28 miles

27 miles

Correct

22 miles

18 miles

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

A cyclist starts a race at a steady speed of 12 miles per hour, decreasing their speed by 2 miles per hour every 45 minutes. How far has the cyclist gone after exactly 3 hours? There are 4 intervals of 45 minutes each. The speed of the cyclist at each interval is…

Read the full explanation

Create free account Sign in

Comments

KrishnanOct 28, 2024

thanks!

DivaAug 16, 2024

Great!

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.