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

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

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

Possible Answers:

\(\displaystyle 43mph\)

\(\displaystyle 39mph\)

\(\displaystyle 24mph\)

\(\displaystyle 42mph\)

\(\displaystyle 35mph\)

Correct answer:

\(\displaystyle 39mph\)

Explanation:

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

\(\displaystyle 195\ miles: 5\ hours=\frac{195\ miles}{5\ hours}\)

Reduce and solve.

\(\displaystyle 39mph\)

Example Question #40 : Ratio And Proportion

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

Possible Answers:

\(\displaystyle 55mph\)

\(\displaystyle 57mph\)

\(\displaystyle 45mph\)

\(\displaystyle 47mph\)

\(\displaystyle 53mph\)

Correct answer:

\(\displaystyle 55mph\)

Explanation:

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

\(\displaystyle 2035\ miles: 37\ hours=\frac{2035\ miles}{37\ hours}\)

Reduce and solve.

\(\displaystyle 55mph\)

Example Question #2 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

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

Possible Answers:

\(\displaystyle 90mph\)

\(\displaystyle 72mph\)

\(\displaystyle 30mph\)

\(\displaystyle 60mph\)

\(\displaystyle 66mph\)

Correct answer:

\(\displaystyle 60mph\)

Explanation:

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

\(\displaystyle 180\ miles: 3\ hours=\frac{180\ miles}{3\ hours}\)

Reduce and solve.

\(\displaystyle 60mph\)

Example Question #2 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

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

 

 
Possible Answers:

\(\displaystyle 55mph\)

\(\displaystyle 54mph\)

\(\displaystyle 47mph\)

\(\displaystyle 45mph\)

\(\displaystyle 34mph\)

Correct answer:

\(\displaystyle 45mph\)

Explanation:

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

\(\displaystyle 360\ miles: 8\ hours=\frac{360\ miles}{8\ hours}\)

Reduce and solve.

\(\displaystyle 45mph\)

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

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

Possible Answers:

\(\displaystyle 46\textup{ mph}\)

\(\displaystyle 60\textup{ mph}\)

\(\displaystyle 49\textup{ mph}\)

\(\displaystyle 47\textup{ mph}\)

\(\displaystyle 42\textup{ mph}\)

Correct answer:

\(\displaystyle 42\textup{ mph}\)

Explanation:

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

\(\displaystyle 2310\ miles: 55\ hours=\frac{2310\ miles}{55\ hours}\)

Reduce and solve.

\(\displaystyle 42\textup{ mph}\)

Example Question #2 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

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

Possible Answers:

\(\displaystyle 87\textup{ mph}\)

\(\displaystyle 83\textup{ mph}\)

\(\displaystyle 85\textup{ mph}\)

\(\displaystyle 77\textup{ mph}\)

\(\displaystyle 75\textup{ mph}\)

Correct answer:

\(\displaystyle 85\textup{ mph}\)

Explanation:

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

\(\displaystyle 1445\ miles: 17\ hours=\frac{1445\ miles}{17\ hours}\)

Reduce and solve.

\(\displaystyle 85mph\)

Example Question #31 : Ratio And Proportion

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

Possible Answers:

\(\displaystyle 20\textup{ mph}\)

\(\displaystyle 120\textup{ mph}\)

\(\displaystyle 30\textup{ mph}\)

\(\displaystyle 60\textup{ mph}\)

\(\displaystyle 25\textup{ mph}\)

Correct answer:

\(\displaystyle 60\textup{ mph}\)

Explanation:

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

\(\displaystyle 60\ miles: 1\ hour=\frac{60\ miles}{1\ hour}\)

Reduce and solve.

\(\displaystyle 60mph\)

Example Question #692 : Ssat Middle Level Quantitative (Math)

 

 

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

Possible Answers:

\(\displaystyle 124\textup{ mph}\)

\(\displaystyle 142\textup{ mph}\)

\(\displaystyle 211\textup{ mph}\)

\(\displaystyle 421\textup{ mph}\)

\(\displaystyle 241\textup{ mph}\)

Correct answer:

\(\displaystyle 241\textup{ mph}\)

Explanation:

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

\(\displaystyle 723\ miles: 3\ hours=\frac{723\ miles}{3\ hours}\)

Reduce and solve.

\(\displaystyle 241mph\)

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

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

Possible Answers:

\(\displaystyle 75\textup{ mph}\)

\(\displaystyle 57\textup{ mph}\)

\(\displaystyle 750\textup{ mph}\)

\(\displaystyle 100\textup{ mph}\)

\(\displaystyle 60\textup{ mph}\)

Correct answer:

\(\displaystyle 75\textup{ mph}\)

Explanation:

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

\(\displaystyle 750\ miles: 10\ hours=\frac{750\ miles}{10\ hours}\)

Reduce and solve.

\(\displaystyle 75mph\)

Example Question #21 : Grade 6

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

Possible Answers:

\(\displaystyle 66\textup{ mph}\)

\(\displaystyle 72\textup{ mph}\)

\(\displaystyle 55\textup{ mph}\)

\(\displaystyle 68\textup{ mph}\)

\(\displaystyle 76\textup{ mph}\)

Correct answer:

\(\displaystyle 66\textup{ mph}\)

Explanation:

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

\(\displaystyle 3828\ miles: 58\ hours=\frac{3828\ miles}{58\ hours}\)

Reduce and solve.

\(\displaystyle 66mph\)

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