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Nathan is planning to ride his bike for 24 minutes. If he rides at a rate of 3 miles per hour, how far will he travel?

Respuesta :

Answer:

1.2 miles in 24 minutes

Step-by-step explanation:

3 miles per hour = .05 miles per minute

24 x 0.05 = 1.2

Remember that speed is defined as the rate of change of the position respect to the time, thus we can define the relation:

Distance = Spee*Time.

Using this we will get the solution: distance = 1.2 miles

Let's see how to get the solution:

We start with the given information:

  • Nathan rides for 24 minutes.
  • His speed is 3 miles per hour.

So we got a time and we also have a speed, but the time units in these are different.

So knowing that:

1 hour = 60 minutes

(1 hour/60 minutes) = 1

Then we can write:

24 minutes = (24 minutes)*(1 hour/60 minutes) = 0.4 hours

Then we have:

time = 0.4 hours

speed = 3 miles per hour.

Then, using the first equation, we get:

distance = (3 miles per hour)*0.4 hours = 1.2 miles.

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