Question

34. If Peter rides his bike at a rate of 7.5 miles in 30 minutes, how long will it

take Peter to ride 30 miles?
A. 12 hour
B. 1 hour
C. 1.25 hours
D. 2 hours

Answer 1

So, the correct answer is D. 2 hours.

Step-by-step explanation:

To determine how long it will take Peter to ride 30 miles, we can set up a proportion based on the given information.

We know that Peter can ride 7.5 miles in 30 minutes. We need to find how long it will take him to ride 30 miles.

Let's set up the proportion:

(7.5 miles) / (30 minutes) = (30 miles) / (x minutes)

To solve for x, we can cross-multiply and then divide to isolate x:

7.5 * x = 30 * 30

7.5x = 900

Now, divide both sides of the equation by 7.5 to solve for x:

x = 900 / 7.5

x = 120

Therefore, it will take Peter 120 minutes to ride 30 miles. To convert this to hours, we divide by 60 (since there are 60 minutes in an hour):

120 minutes / 60 = 2 hours

Answer 2

Peter rides at a speed of 15 miles per hour, so it will take him 2 hours to ride 30 miles.

Step-by-step explanation:

First, we determine Peter's speed in terms of miles per hour. Since Peter rides 7.5 miles in 30 minutes, we need to find out how many miles he would ride in 60 minutes (1 hour). To do this, we simply multiply 7.5 miles by 2, because there are two 30-minute segments in an hour, which gives us 15 miles per hour.

Next, to figure out how long it will take Peter to ride 30 miles at a speed of 15 miles per hour, we divide the total distance by the speed:

1. Distance = 30 miles
2. Speed = 15 miles per hour
3. Time = Distance / Speed = 30 miles / 15 miles per hour = 2 hours

Therefore, it will take Peter 2 hours to ride 30 miles.