Question

A bicycle is traveling at 22 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answer 1

Answer: The answer is: " 322.7 ft. "

_______________________________

Explanation:

First:

Convert: " 22 mi /h" ; to: " ft / s " ;

______________________

Note the following exact conversions:

______________________

1 mi = 5280 ft. ;

1 h = 60 min.

1 min = 60 s ;

______________________

`(22 mi)/(h) *(5280ft)/(mi) *(1 h)/(60 min)*(1 min)/(60 s)` = ? ft/sec. ?

______________________

From the "left-hand side" of the equation:

_____________________

1) The units of "mi" ["mile(s}"] cancel out; since: "mi/mi" = 1 .

_____________________

2) The units of "h" ["hour(s)"] cancel out; since: "h/h" = 1 .

_____________________

3) The units of "min" ["minute(s)"] cancel out; since: "min/min" = 1.

_____________________

And we are with units of "ft/s" ["feet per second"] :

_____________________

→ "
`((22*5280)/(60*60)) (ft)/(s)` "; Using calculator:

_____________________

= "
`((116160)/(3600)) (ft)/(s)` " ; Using calculator:

______________________

= "
`32.2666666667 (ft)/(sec)` " ;

_____________________

Now, we are asked:

_____________________

"How many feet will it cover in 30 seconds?"

_____________________

To solve:

______________________

"
`(32.2666666667 ft)/(s) *(10 s)/(1 ) = ? ft` " ;

______________________

Note: The units of "s" ["second(s)"] on the "left-hand side" of the equation; cancel out to "1" ; since: "s/s" = 1 ;

______________________

And we have:

______________________

" (
`32.2666666667 * 10` ) ft ;

________________________

→
`= 322.666666667` ft ;

{Note: To multiply by "10"; move the decimal one space to the right; or use calculator to get the value;

________________________

Second:

→ We are asked to round our answer to the "nearest tenth of a foot" ;

_________________________

We have: " 322.666666.... ft." :

__________________________

Note: "322.666..."

The "tenths" place has a digit of "6".

__________________________

The question is: To round to the nearest tenth:

Do we round to "322.6" ? or round up to: "322.7" ?

To determine this, we examine the next following decimal; that is,

the "hundredths" place.

If the digit within the hundredths place is: "0, 1, 2, 3, or 4" ; then, we "round down" to "322.6 ".

If the digit within the hundredths place is: "5, 6, 7, 8, or 9" ; then, we "round up" to "322.7 ".

___________________________

In our case, the digit within the hundredths place is "6" ;

As such, we round to: "322.7" .

___________________________

The answer is: " 322.7 ft. "

___________________________

Hope this answer—and explanation—is helpful to you!

___________________________