Question

Demetrius is training for the same 1-mile race.

Demetrius ran at a constant speed of 7.5 miles per hour.
Yosef's progress is shown by the graph.
Who finished the mile first?

Answer 1

• Demetrius wins the race by 7.5 minutes.

Explanation:

We know that:

• Demetrius = 7.5 miles = 60 minutes
• Yosef = 1 mile = 9 minutes

Let's see how much time Yosef take in 7.5 miles.

Solution:

• Yosef speed = 1 mile = 9 minutes
• => 7.5 miles = 9 x 7.5 minutes
• => 7.5 miles = 67.5 minutes
• 60 minutes < 67.5 minutes

After working on this problem, we can conclude that Demetrius wins the race by 7.5 minutes.

Answer 2

Yosef finished the mile in 9 minutes.

Distance = 1 mile

Demetrius' speed = 7.5 miles per hour

Demetrius' time = Distance/speed

= 8 minutes

Demetrius finished the mile first by taking 1 minute less than Yosef's finishing time.