QuestionLorenzo rides his bike at 5 yards/second. How many miles/hour is that? (1 mile $=1,760$ yards)

Studdy Solution

STEP 1

Assumptions1. Lorenzo's biking speed is5 yards per second. .1 mile equals1,760 yards.

STEP 2

First, we need to convert Lorenzo's speed from yards per second to miles per second. We can do this by dividing the speed in yards per second by the number of yards in a mile.
$Speed\, in\, miles\, per\, second = Speed\, in\, yards\, per\, second / Number\, of\, yards\, in\, a\, mile$

STEP 3

Now, plug in the given values for the speed in yards per second and the number of yards in a mile to calculate the speed in miles per second.
$Speed\, in\, miles\, per\, second =5\, yards\, per\, second /1,760\, yards\, per\, mile$

STEP 4

Calculate the speed in miles per second.
$Speed\, in\, miles\, per\, second = /1,760 =0.00284\, miles\, per\, second$

STEP 5

Now that we have the speed in miles per second, we need to convert this to miles per hour. We can do this by multiplying the speed in miles per second by the number of seconds in an hour (3,600 seconds).
$Speed\, in\, miles\, per\, hour = Speed\, in\, miles\, per\, second \\times Number\, of\, seconds\, in\, an\, hour$

STEP 6

Plug in the values for the speed in miles per second and the number of seconds in an hour to calculate the speed in miles per hour.
$Speed\, in\, miles\, per\, hour =0.00284\, miles\, per\, second \\times3,600\, seconds\, per\, hour$

STEP 7

Calculate the speed in miles per hour.
$Speed\, in\, miles\, per\, hour =0.00284 \\times3,600 =10.22\, miles\, per\, hour$ orenzo can ride his bike at about10.22 miles per hour.

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