Keshia ran 10 1/2 miles in 1 3/4 hours. Mateo ran 12 miles in 2 2/5 hours. Who ran faster?
A. Mateo ran faster, he ran 1/5 of a mile per hour.
B. Keshia ran faster, she ran 1/6 of a mile per hour
C. Mateo ran faster, he ran 5 miles per hour
D. Keshia ran faster, she ran 6 miles per hour
To determine who ran faster, we need to compare their speeds (miles per hour).
Keshia's speed is calculated by dividing the distance she ran (10 1/2 miles) by the time it took her to run that distance (1 3/4 hours):
Speed = Distance / Time
Speed = 10 1/2 miles / 1 3/4 hours
Speed = (21/2) miles / (7/4) hours
Speed = (21/2) * (4/7) miles/hour
Speed = 6 miles/hour
Mateo's speed is calculated by dividing the distance he ran (12 miles) by the time it took him to run that distance (2 2/5 hours):
Speed = Distance / Time
Speed = 12 miles / 2 2/5 hours
Speed = 60/5 miles / 12/5 hours
Speed = (60/5) * (5/12) miles/hour
Speed = 5 miles/hour
Comparing their speeds, we can see that Keshia ran faster, with a speed of 6 miles per hour. Therefore, the answer is:
D. Keshia ran faster, she ran 6 miles per hour