Amari302003
contestada

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 !

Respuesta :

sqdancefan

Answer:

   6 miles

Step-by-step 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

__

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

__

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.

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