At a track meet, Samma finished the 200-meter race in 25.98 seconds. Tom finished the 100-meter race in 12.54 seconds. Which runner ran at a faster average rate?

Question

asked May 2, 2017 137k views

2 Answers

Mike Donkers · Answer 1 · 2017-05-07T13:47:57+0000

Answer: Tom ran at a faster average rate.

Explanation:

Given: Samma finished the 200-meter race in 25.98 seconds.

The average rate of distance traveled by Samma is given by :-

$\text{Average rate}_1=\frac{\text{Distance}}{\text{time}}=(200)/(25.98)\\\Rightarrow\text{Average rate}_1=7.698229407\approx7.70$

Tom finished the 100-meter race in 12.54 seconds.

The average rate of distance traveled by Tom is given by :-

$\text{Average rate}_2=\frac{\text{Distance}}{\text{time}}=(100)/(12.54)\\\Rightarrow\text{Average rate}_2=7.97448165\approx7.97$

Clearly on comparing decimal places, we get 7.97>7.70

Hence, Tom ran at a faster average rate.