81.5k views
1 vote
Sandy and Jessica travel the same distance of 16 miles on their bicycles. Sandy rides her bicycle at the rate of 12 miles per hour. Jessica reaches the place 45 minutes later. There are 5,280 feet in a mile.

At approximately what speed did Jessica ride her bicycle?

A. 8 feet per second
B. 11 feet per second
C. 18 feet per second
D. 24 feet per second

User Farzad J
by
7.7k points

1 Answer

5 votes

To find the speed at which Jessica rode her bicycle, we can use the given information and follow these steps:

1. Sandy and Jessica travel the same distance of 16 miles.

2. Sandy rides her bicycle at a rate of 12 miles per hour.

3. Jessica reaches the place 45 minutes later than Sandy.

First, let's convert the time difference from minutes to hours. Since there are 60 minutes in an hour, 45 minutes is equal to 45/60 = 0.75 hours.

Next, we can calculate the time it took for Jessica to travel 16 miles by subtracting the time difference from Sandy's time. Sandy took 16 miles / 12 miles per hour = 1.33 hours to travel the distance. Therefore, Jessica took 1.33 + 0.75 = 2.08 hours to cover the same 16 miles.

To find Jessica's speed, we divide the distance (16 miles) by the time (2.08 hours):

Speed = Distance / Time

Speed = 16 miles / 2.08 hours ≈ 8 miles per hour.

Therefore, Jessica rode her bicycle at approximately 7.69 miles per hour.

It's important to note that this calculation assumes a constant speed for both Sandy and Jessica throughout their entire journey.

User Kudzu
by
8.7k points