Jay rode his bike 48 miles in 2 2/5 hours, and Maria rode her bike 60 miles in 3 1/3 hours. What was each person’s speed in miles per hour? Express the answers in simplest form.(1 point)
miles per hour; ___
Maria: ___ miles per hour
To find the speed in miles per hour, we need to divide the number of miles by the number of hours.
For Jay:
Speed = Distance / Time = 48 miles / 2 2/5 hours
First, we need to convert the mixed number 2 2/5 to an improper fraction.
2 2/5 = (5 * 2 + 2) / 5 = 12/5
Now we can divide:
Speed = 48 miles / 12/5 hours
Speed = 48 miles * 5/12 hours
Next, we simplify the fraction:
Speed = (48 * 5) / 12 hours = 240/12 hours = 20 miles per hour.
For Maria:
Speed = Distance / Time = 60 miles / 3 1/3 hours
First, we need to convert the mixed number 3 1/3 to an improper fraction.
3 1/3 = (3 * 3 + 1) / 3 = 10/3
Now we can divide:
Speed = 60 miles / 10/3 hours
Speed = 60 miles * 3/10 hours
Next, we simplify the fraction:
Speed = (60 * 3) / 10 hours = 180/10 hours = 18 miles per hour.
So, Jay's speed is 20 miles per hour and Maria's speed is 18 miles per hour.