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A car travels 195 miles in 3 hours at a steady speed. How many miles…

Question 6 of module 1 · Step by step, with the reason for every step · ACT Math Practice Test 1 · ACT Math

Step by step

The question

Question: 195 miles in 3 hours.

How many miles in 1 hour?

195 miles in 3 hours

A unit rate tells us how much for just 1.

Here: miles for 1 hour.

unit rate = how much for 1

There are four choices.

First we solve it, the normal way.

Then we pick.

1 Write it as a fraction

We write it as a fraction.

The miles go on top.

The hours go on the bottom.

195 miles3 hours

2 Divide to get 1 at the bottom

We want 1 hour on the bottom.

3 divided by 3 is 1.

We divide the top by 3 too, so the rate stays the same.

= 195 miles ÷ 33 hours ÷ 3

195 divided by 3 is 65.

So it is 65 miles for 1 hour.

= 65 miles1 hour

Per means for each.

So the unit rate is 65 miles per hour.

= 65 miles per hour

3 Check

Let's check: 3 hours at 65 miles per hour.

3 times 65 is 195.

That is 195 miles, so it is right!

3 × 65 miles = 195 miles

4 Pick the choice

Our answer is 65 miles per hour.

That is choice A.

A) 65

5 Why not the others

B is 192.

Wrong: took away 3 instead of dividing by 3.

B) 192 ✗ took away 3 instead of dividing by 3

C is 198.

Wrong: added 3 instead of dividing by 3.

C) 198 ✗ added 3 instead of dividing by 3

D is 585.

Wrong: multiplied by 3 instead of dividing.

D) 585 ✗ multiplied by 3 instead of dividing

Let's look back.

First: write it as a fraction.

Then: divide to get 1 at the bottom.

Then: check.

Then: pick the choice.

Last: why not the others.

Answer
= 65 miles per hour

Your turn

Try this one yourself, then check your answer:

196 miles in 2 hours
Show the answer
98 miles per hour

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