Question

Thomas went on a hike. He climbed (3) / (4) of a mile in (2) / (3) of an hour. What was his hiking speed in miles per hour?

a. 1 mph
b. 1.125 mph
c. 1.5 mph
d. 1.8 mph

Answer 1

Thomas's hiking speed is calculated by dividing the distance by the time, resulting in a speed of (3/4) mile divided by (2/3) hour which equals 1.125 mph.

Step-by-step explanation:

To determine Thomas's hiking speed in miles per hour, we divide the distance he hiked by the time it took to hike that distance. Thomas hiked (3/4) of a mile in (2/3) of an hour. To find his speed in mph, the calculation will be as follows:

1. Speed = Distance ÷ Time
2. Speed = (3/4) mile ÷ (2/3) hour
3. Speed = (3/4) * (3/2) miles per hour (Inverting the divisor and multiplying)
4. Speed = 9/8 miles per hour
5. Speed = 1.125 mph

Therefore, Thomas's hiking speed was 1.125 mph, which corresponds to option b. 1.125 mph.