heyitsjassie
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The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours to drive the distance at 35 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

Respuesta :

Luv2Teach
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
Lanuel

The amount of time required to drive the same distance at 45 miles per hour is equal to 3.11 hours.

How to calculate the time?

Mathematically, the inverse relationship between time (t) and speed (r) is given by:

t α 1/r

t = k/r

k = tr

Given the following data:

  • Time A = 4 hours.
  • Speed A = 35 miles per hour.

Substituting the given parameters into the formula, we have;

k = 4 × 35

k = 140.

Now, we can determine the amount of time required to drive the same distance at 45 miles per hour:

t = k/r

t = 140/45

Time, t = 3.11 hours.

Read more on inverse relationship here: https://brainly.com/question/25748643

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