Question

the track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. then they are able to reduce their time by 1/10. If their final time is 3.96 minutes what was their beginning time?

Answer 1

Their beginning time was 16.06 minutes.

Step-by-step explanation:

The track team is trying to reduce their time for a relay race.

First they reduce their time by 2.1 minutes, take it as $t_{1}$. Then they are able to reduce that time by 10 minutes, take it as $t_{2}$. Let ‘X’ be the time in minutes at the beginning.

Given that their final time is 3.96 minutes, then their beginning time can be calculated as below,

            $X-t_{1}-t_{2}=3.96 \text { minutes }$

            $X=3.96+t_{1}+t_{2}$

By substituting the values, we get

            $X=3.96+2.1+10=16.06 \text { minutes }$

Hence, their beginning time was 16.06 minutes.