Question

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?

Answer 1

They have the same time average because if tom ran the 200 mile race he would have double his time on the 100 meter race. 12.54 x 2= 25.98 seconds, so they have the same average rate.

Answer 2

Answer: Tom ran at a faster average rate.

Step-by-step explanation:

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

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

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

Tom finished the 100-meter race in 12.54 seconds.

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

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

Clearly on comparing decimal places, we get 7.97>7.70

Hence, Tom ran at a faster average rate.