Alice travels from location X to location Y at a steady speed of 50 miles per hour. After reaching location Y, she heads straight to location Z. The distance from X to Y is three times the distance from Y to Z. If her average speed for the entire trip was 25 mph, what was Alice's speed while driving from Y to Z in miles per hour?

Answer Choices

Correct answer marked below

Correct

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

To solve this, we can define the distance from X to Y as 150 miles (which means the travel time for this segment is 3 hours), and the distance from Y to Z as 50 miles. Let the speed from Y to Z be y (which gives a travel time of

\frac{50 ext{ mi}}{y ext{ mph}}

for this…

Read the full explanation

Create free account Sign in

Comments

No comments yet

Be the first to share your thoughts and help others understand it better.

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.