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Calculate 150 km in 4 hours

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

Step by step

The question

Question: 150 km in 4 hours.

How many km in 1 hour?

150 km in 4 hours

A unit rate tells us how much for just 1.

Here: km for 1 hour.

unit rate = how much for 1

1 Write it as a fraction

We write it as a fraction.

The km go on top.

The hours go on the bottom.

= 150 km4 hours

2 Divide to get 1 at the bottom

We want 1 hour on the bottom.

4 divided by 4 is 1.

We divide the top by 4 too, so the rate stays the same.

= 150 km ÷ 44 hours ÷ 4

150 divided by 4 is 37.5.

So it is 37.5 km for 1 hour.

= 37.5 km1 hour

Per means for each.

So the unit rate is 37.5 km per hour.

= 37.5 km per hour

3 Check

Let's check: 4 hours at 37.5 km per hour.

4 times 37.5 is 150.

That is 150 km, so it is right!

4 × 37.5 km = 150 km

Let's look back.

First: write it as a fraction.

Then: divide to get 1 at the bottom.

Last: check.

Answer
= 37.5 km per hour

Your turn

Try this one yourself, then check:

154 km in 7 hours
Show the answer
22 km per hour

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