Question

If you drive to a city that is 350 miles away, how long will it take you if you drive 70 mph the whole trip?

Answer 1

Hello and Good Morning/Afternoon:

Let's take this problem-step-by-step:

Let's consider the information given:

• Distance: 350 miles
• Speed: 70 mph

What does this problem want us to find:

  $\hookrightarrow \text{The time}$

Let's find our equation:

 $\hookrightarrow \text{Distance = speed * time} \rightarrow \text{Time = Distance/Speed}$

So:

  $\hookrightarrow \text{Time of whole trip} = \frac{Distance}{Speed}=\frac{350 \text{ miles}}{70 \text{ mph}} = 5 \text{ hours}$

Answer: 5 hours

Hope that helps!

#LearnwithBrainly

Answer 2

Answer:

5 hours

Explanation:

You can use the speed formula to help you in this:

$\displaystyle{v = \dfrac{s}{t}}$

where v is speed, s is distance and t is time.

First, solve the literal equation for t-term since we're looking for "how long" which is related to time.

First, multiply both sides by t:

$\displaystyle{v \cdot t= \dfrac{s}{t}\cdot t}\\\\\displaystyle{v \cdot t= s}\\\\\displaystyle{s=vt}$

Then divide both sides by v:

$\displaystyle{\dfrac{s}{v}=\dfrac{vt}{v}}\\\\\displaystyle{\dfrac{s}{v}=t}\\\\\displaystyle{t=\dfrac{s}{v}}$

Since we are given that a city's distance is 350 miles and you drive at the rate of 70 miles per hour. Then substitute v = 70 and s = 350 in the formula.

$\displaystyle{t=\dfrac{350}{70}}\\\\\displaystyle{t=5 \ \, \sf{hours}}$

Therefore, it'll take 5 hours to drive the whole trip.