Question

Johnny is trying to figure out how many miles he rode on his bike today.

He knows his bike uses wheels that are 30" tall, and it takes him 1 second
for it to make one complete revolution. If he rode for 1 hour and 11
minutes, how many miles did he ride? Use 3.14 for pi and round your
answer to the nearest mile.(Please note that 60 seconds = 1 minute, 60
minutes = 1 hour, 12" = 1 ft, and 5,280 ft = 1 mile).
PLEASE HELP !

Answer 1

6 miles

Explanation:

The time Johnny rode was ...

1 h 11 min = (60 min) +(11 min) = 71 min = 71 × (60 sec) = 4260 sec

The distance of one revolution of the bike tire is ...

C = πd = 3.14(30 in) = 94.2 in

So, the total distance Johnny rode was ...

(4260 sec)×(94.2 in/sec) = 401,292 in

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We know there are 5280 feet in a mile, and each of those is 12 inches. So, the number of inches in a mile is ...

5280 ft = 5280×(12 in) = 63,360 in

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The number of miles Johnny rode can be found by dividing the total distance by the distance in 1 mile:

(401,292 in)/(63,360 in/mile) = 6.33 mile

Johnny rode about 6 miles in 1 hour 11 minutes.