Question

Ben runs at a speed of 7 miles per hour. Heather runs at a speed of 88 yards per minute. How much faster in miles per hour does Ben run than Heather?

a) 3 mph
b) 4 mph
c) 5 mph
d) 6 mph

Answer 1

After converting Heather's speed from yards per minute to miles per hour, it is determined that Ben runs 4 mph faster than Heather.

Step-by-step explanation:

To determine how much faster in miles per hour Ben runs than Heather, we must first convert Heather's speed to the same unit as Ben's speed, which is miles per hour. Since there are 1760 yards in a mile, Heather's speed can be converted to miles per hour by dividing the speed in yards per minute by 1760 and then multiplying by 60 minutes (since there's 60 minutes in an hour).

Heather's speed in miles per hour is calculated as follows:

• 88 yards/minute × (1 mile/1760 yards) × 60 minutes/hour = 3 miles per hour.

Now that we have both speeds in miles per hour, we can find the difference:

• Ben's speed - Heather's speed = 7 mph - 3 mph = 4 mph.

So, Ben runs at a speed 4 mph faster than Heather.