Question

A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answer 1

240km

Explanation:

First, to make everything more clear, rewrite it like this-

1 mile = 1.6km

So we have to multiply 30 (miles) by 1.6 (km)

30 x 1.6 + 48

So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.

We have to multiply 48 by 5 which equals 240

So the answer is 240km

Answer 2

• 48
• 240

Explanation:

Part one

1 mile per hour = 1.60 kilometers per hour

30 miles per hour = ?

Step 1: Set up a fraction.

The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "
`k`". It does not matter whether they are top or bottom.

`(1.60)/(1) = (k)/(30)`

As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.

Step 2: Solve

`(1.60)/(1) = (k)/(30)`

• Cross multiply

1.60 × 30 = 48

1 × k = 1

Therefore, the rate is 48 kilometers per hour.

Part 2

This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.

Step 1: Multiply the result to 5.

48 × 5 = 240

Therefore, the cyclist will travel 240 kilometers in 5 hours.