While traveling on a freeway, Sarah overtook Tom's vehicle and after 3 minutes, found herself 4 kilometres ahead of him. If Sarah and Tom maintained constant speeds of y kilometres per hour and 50 kilometres per hour respectively, what is the value of y?

Answer Choices

Correct answer marked below

45 kilometres per hour

70 kilometres per hour

90 kilometres per hour

110 kilometres per hour

130 kilometres per hour

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

Sarah and Tom are driving in the same direction. At a certain moment, Sarah overtook Tom and after 3 minutes, she was 4 km ahead. We can calculate the distance Tom covered using his speed and the time. Tom's distance --> 50 [km/hr] * 3[min] * 1/60[hr/min] = 2.5 [km]. The distance between them at that moment is 4[km], but Sarah…

Read the full explanation

Create free account Sign in

Comments

DanielDec 14, 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.