Questions: (a) Austin runs 9 miles in 74 minutes. How many minutes does he take per mile? (b) At Keller's Bike Rentals, it costs 33 to rent a bike for 6 hours. How many hours of bike use does a customer get per dollar?

(a) Austin runs 9 miles in 74 minutes.

How many minutes does he take per mile?

(b) At Keller's Bike Rentals, it costs 33 to rent a bike for 6 hours. How many hours of bike use does a customer get per dollar?
Transcript text: (a) Austin runs 9 miles in 74 minutes. How many minutes does he take per mile? (b) At Keller's Bike Rentals, it costs $33 to rent a bike for 6 hours. How many hours of bike use does a customer get per dollar?
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Solution

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Solution Steps

Step 1: Calculate Minutes per Mile for Austin

To find out how many minutes Austin takes per mile, we need to divide the total time by the total distance. Austin runs 9 miles in 74 minutes.

Minutes per mile=74 minutes9 miles=7498.2222 \text{Minutes per mile} = \frac{74 \text{ minutes}}{9 \text{ miles}} = \frac{74}{9} \approx 8.2222

Rounding to the nearest hundredth, we get:

Minutes per mile8.22 \text{Minutes per mile} \approx 8.22

Step 2: Calculate Hours per Dollar for Keller's Bike Rentals

To find out how many hours of bike use a customer gets per dollar, we need to divide the total hours by the total cost. It costs \$33 to rent a bike for 6 hours.

Hours per dollar=6 hours33 dollars=6330.1818 \text{Hours per dollar} = \frac{6 \text{ hours}}{33 \text{ dollars}} = \frac{6}{33} \approx 0.1818

Rounding to the nearest hundredth, we get:

Hours per dollar0.18 \text{Hours per dollar} \approx 0.18

Final Answer

(a) Austin takes 8.22\boxed{8.22} minutes per mile.

(b) A customer gets 0.18\boxed{0.18} hours per dollar at Keller's Bike Rentals.

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