Question

Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5,280 feet)

Answer 1

Quincy is 5.5 mi/h faster than Marissa

Explanation:

Speed

It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.

The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.

4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:

`\displaystyle (1\ mile)/(0.0667\ h)=15\ mi/h`

Quincy rides at 15 miles/hour.

Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:

13,376 / 5,280 = 2.533 miles

16 minutes = 16/60 = 0.2667 hours

Marissa's speed is:

`\displaystyle (2.533\ mile)/(0.2667 \ h)=9.5\ mi/h`

The difference is 15 - 9.5 = 5.5 mi/h

Quincy is 5.5 mi/h faster than Marissa