6th Grade Math - Understand the Concept of a Unit Rate: CCSS.Math.Content.6.RP.A.2

A motorcycle travels $723\textup{ miles}$ in $3\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

$241\textup{ mph}$

$421\textup{ mph}$

$124\textup{ mph}$

$142\textup{ mph}$

$211\textup{ mph}$

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$723\ miles: 3\ hours=\frac{723\ miles}{3\ hours}$

Reduce and solve.

A motorcycle travels $60\textup{ miles}$ in $1\textup{ hour}$ . What is the motorcyclist’s speed in miles per hour (mph)?

$60\textup{ mph}$

$30\textup{ mph}$

$25\textup{ mph}$

$120\textup{ mph}$

$20\textup{ mph}$

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$60\ miles: 1\ hour=\frac{60\ miles}{1\ hour}$

Reduce and solve.

A motorcycle travels $567\textup{ miles}$ in $9\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

$63\textup{ mph}$

$66\textup{ mph}$

$69\textup{ mph}$

$72\textup{ mph}$

$36\textup{ mph}$

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$567\ miles: 9\ hours=\frac{567\ miles}{9\ hours}$

Reduce and solve.

A motorcycle travels $2035\ miles$ in $37\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$2035\ miles: 37\ hours=\frac{2035\ miles}{37\ hours}$

Reduce and solve.

A motorcycle travels $195\ miles$ in $5\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$195\ miles: 5\ hours=\frac{195\ miles}{5\ hours}$

Reduce and solve.

A motorcycle travels $1445\textup{ miles}$ in $17\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

$85\textup{ mph}$

$75\textup{ mph}$

$87\textup{ mph}$

$77\textup{ mph}$

$83\textup{ mph}$

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$1445\ miles: 17\ hours=\frac{1445\ miles}{17\ hours}$

Reduce and solve.

A motorcycle travels $180\ miles$ in $3\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$180\ miles: 3\ hours=\frac{180\ miles}{3\ hours}$

Reduce and solve.

A motorcycle travels $1296\textup{ miles}$ in $18\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

$72\textup{ mph}$

$77\textup{ mph}$

$66\textup{ mph}$

$75\textup{ mph}$

$80\textup{ mph}$

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$1296\ miles: 18\ hours=\frac{1296\ miles}{18\ hours}$

Reduce and solve.

A motorcycle travels $3828\textup{ miles}$ in $58\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

$66\textup{ mph}$

$68\textup{ mph}$

$72\textup{ mph}$

$76\textup{ mph}$

$55\textup{ mph}$

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$3828\ miles: 58\ hours=\frac{3828\ miles}{58\ hours}$

Reduce and solve.

A motorcycle travels $360\ miles$ in $8\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Explanation

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$360\ miles: 8\ hours=\frac{360\ miles}{8\ hours}$

Reduce and solve.

Understand the Concept of a Unit Rate: CCSS.Math.Content.6.RP.A.2

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