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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 that time by 10 If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoning.

Respuesta :

JeanaShupp

Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

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

First they reduce their time by [tex]t_1=[/tex]2.1 minutes.

Then they are able to reduce that time by [tex]t_2=[/tex]10

If their final time is 3.96 minutes, then

[tex]x-t_1-t_2=3.6\\\Rightarrow\ x=3.6+t_1+t_2\\\Rightarrow\ x=3.6+2.1+10\\\Rightarrow\ x= 15.7[/tex]

Hence, their beginning time was 15.7 minutes.

fichoh

Using the appropriate arithmetic operation, the beginning time would be 15.97 minutes.

Given the following information :

  • First reduction, t1 = 2.1 minutes
  • Second reduction, t2 = 10 minutes
  • Beginning time = v

Expressing the information thus :

v - t1 - t2 = final time

v - 2.1 - 10 = 3.96

v - 12.1 = 3.96

v = 3.96 + 12.1

v = 15.97 minutes.

Hence, the beginning time is 15.97 minutes.

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