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Calculate 120 miles in 2 hours

Step by step, with the reason for every step · Ratios, unit rates, compare deals · Foundations

Step by step

The question

Question: 120 miles in 2 hours.

How many miles in 1 hour?

120 miles in 2 hours

A unit rate tells us how much for just 1.

Here: miles for 1 hour.

unit rate = how much for 1

1 Write it as a fraction

We write it as a fraction.

The miles go on top.

The hours go on the bottom.

= 120 miles2 hours

2 Divide to get 1 at the bottom

We want 1 hour on the bottom.

2 divided by 2 is 1.

We divide the top by 2 too, so the rate stays the same.

= 120 miles ÷ 22 hours ÷ 2

120 divided by 2 is 60.

So it is 60 miles for 1 hour.

= 60 miles1 hour

Per means for each.

So the unit rate is 60 miles per hour.

= 60 miles per hour

3 Check

Let's check: 2 hours at 60 miles per hour.

2 times 60 is 120.

That is 120 miles, so it is right!

2 × 60 miles = 120 miles

Let's look back.

First: write it as a fraction.

Then: divide to get 1 at the bottom.

Last: check.

Answer
= 60 miles per hour

Your turn

Try this one yourself, then check:

118 miles in 2 hours
Show the answer
59 miles per hour

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