Question

Will runs 9 feet per second. Ron runs 372 feet in 27 seconds. Tony runs 1 mile in 505 seconds. Jake runs 688 feet in 1 minute. who runs the fastest

Answer 1

Ron

Explanation:

Change all these ratios such that they have the same units in the denominator. Multiply by common ratios to get equivalent proportions. I will get all ratios in terms of feet/minute. Set up the common ratio such that you cancel out the original unit with the new desired unit in the denominator. I want my answer in feet per minute, so mutiply by sec/sec to cancel them.

Will:

`(9 ft)/(1sec) * (60 sec)/(1min) = 540` ft / min

Ron:

`(372 ft)/(27 sec) * (60 sec)/(1 min ) = 826.667` ft / min

Tony:

`(1 mile)/(505 sec) * (60 sec)/( 1 min) * (5280 ft)/(1 mile) = (60 * 5280)/(505) = 627.327` ft / min

Jake:

`(688 ft)/(1min)` = 688 ft / min

Comparing these four speeds, we want to know who runs the fastest. Ron's speed is greatest; Therefore, Ron runs the fastest.