Question

A train travels 165 km in 1.5 hours.

How far will the train travel in 2.2 hours if it maintains the same speed?

Answer 1

Hello There, today we will be solving your problem

`\huge\red{\mid{\underline{\overline{\textbf{EQUATION AND ANSWER}}}\mid}}`

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Let's solve this equation using rates,

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Definitions

Unit Rate - A unit rate means a rate for one of something.

Cross Multiplication - In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

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Now that we understand the definition we can further solve this equation

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`165`
`km` ⇒
`1.5`
`hr`

`x\\`
`km` ⇒
`2.2`
`hr`

Now we will use cross-multiplication to solve this equation

`\large\red{\mid{\underline{\overline{\textbf{Equtation}}}\mid}}`

`165 \cdot 2.2\\x\cdot1.5`

Once solving this equation we get

`1.5x=363`
`km`

Divide both sides by
`1.5`

`x=242`
`km`

`\large\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}`

• A train travels 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?

The train would've traveled a total of 242 km in 2.2 hours.

Have a good day!