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Lydia got her learners permit and helped her parents drive to her grandparent's house and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 60 km/hour. The average speed on the way back was 40 km/hour. How many hours did the trip there take?

Select the correct response:
2 hours
3 hours
5 hours
4 hours

Respuesta :

Using the relation between velocity, distance and time, it is found that the trip took 2 hours.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

On the first part of the trip, a time of t was taken, with an average speed of 60 km/hour, hence:

[tex]60 = \frac{d}{t}[/tex]

d = 60t

On the second part, a time of t + 1 was taken, with an average speed of 40 km/hour, hence:

[tex]40 = \frac{d}{t+1}[/tex]

d = 40(t + 1).

Since the distance is equal for both parts, we can equal the equations and find the time.

60t = 40t + 40

20t = 40

t = 2.

The trip took 2 hours.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569