Question

Sara rode 20 miles on her bike. It took her 1 1/4 hours to ride the first 12 miles. If she continues at the same rate, how long will it take her to complete her ride?

a) 1 hour
b) 1.25 hours
c) 2 hours
d) 2.5 hours

Answer 1

Sara's average speed is 9.6 miles per hour. It will take her approximately 2.08 hours to complete her ride, which rounds to 2.25 hours. Therefore, the correct option is d) 2.5 hours.

Step-by-step explanation:

To find out how long it will take Sara to complete her ride, we need to determine her average speed.

The first 12 miles took her 1 1/4 hours. We can convert this to a mixed number: 1 1/4 = 5/4 hours.

To find her average speed, we divide the distance by the time: 12 miles ÷ 5/4 hours = 12 miles × 4/5 hours = 48/5 miles per hour. Simplifying, we get 9.6 miles per hour.

Now, to find out how long it will take her to complete her ride, we divide the total distance (20 miles) by her average speed (9.6 miles per hour): 20 miles ÷ 9.6 miles per hour = 2.08 hours.

Therefore, it will take her approximately 2.08 hours to complete her ride. Rounded to the nearest quarter hour, the answer is 2.25 hours. So, the correct option is d) 2.5 hours.