Question

lorenzo rides his bike at a rate of 5 yards per second. About how many miles per hour can Lorenzo ride this bike?(1mile=1760 yards)

Answer 1

(5 yd/sec) x (1 mile/1,760 yard) x (3,600 sec/hour) = about 10.227 mile/hour.

Answer 2

we have

`5 (yards)/(sec)`

Step
`1`

Convert
`5` yards to miles

by proportion

`(1)/(1,760) (mile)/(yards) =(x)/(5) (mile)/(yards)\\\\ x*1,760=5\\\\ x=(5)/(1,760)\ miles`

Step
`2`

Convert
`1` second to hours

by proportion

`(1)/(3,600) (hour)/(seconds) =(x)/(1) (hour)/(second)\\\\ x*3,600=1\\\\ x=(1)/(3,600)\ hours`

Step
`3`

Find the speed in miles per hour

we know that

`speed=(distance)/(time)\\\\speed=((5/1,760))/((1/3,600))\\\\speed=(5*3,600)/(1,760)\\\\speed=10.23(miles)/(hour)`

therefore

the answer is

`10.23(miles)/(hour)`