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Ramiro was on a two day road trip.on the first day he drove at an average speed of 40 mph.on the second day he drove at an average of 60 mph.if he drove 2 hours longer and went 20 miles farther on his first day find the total distance ramiro traveled on his road trip.

Respuesta :

Considering the relationship between velocity, distance and time, it is found that the total distance traveled was of 380 miles.

What is the relationship between velocity, distance and time?

Velocity is distance divided by time, that is:

v = d/t.

For the first day, we have that:

v = 40, t = t + 2, d = d + 20, hence:

40 = (d + 20)/(t + 2)

For the second day, we have that:

v = 60

60 = d/t

d = 60t

Then, replacing in the first equation:

40 = (60t + 20)(t + 2)

60t + 20 = 40t + 80

20t = 60

t = 3.

Then the distances are given by:

  • First day: d = 60t + 20 = 60 x 3 + 20 = 200 miles.
  • Second day: d = 60t = 60 x 3 = 180 miles.
  • Total: 200 miles + 180 miles = 380 miles.

More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/28143163

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