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

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

A motorcycle travels $750\textup{ miles}$ in $10\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Answer

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

$750\ miles: 10\ hours=\frac{750\ miles}{10\ hours}$

Reduce and solve.

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

A motorcyclist travels $2310\textup{ miles}$ in $55\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Answer

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

$2310\ miles: 55\ hours=\frac{2310\ miles}{55\ hours}$

Reduce and solve.

$42\textup{ mph}$

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

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

Answer

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.

Compare your answer with the correct one above

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