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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

User Cguzel
by
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1 Answer

4 votes

Final answer:

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.

User Haki
by
8.9k points
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