Bobby likes to hike the trails near his house. On Saturday, he spent 4 hours hiking 8 miles. On Sunday, he plans to hike 12 miles. If he hikes at the same rate, how many hours will he spend hiking on Sunday? ____ hours

Calculate Bobby's hiking rate: Calculate Bobby's hiking rate from Saturday. He hiked 8 miles in 4 hours. Rate = Distance / Time = 8 miles / 4 hours = 2 miles per hour. Find time to hike 12 miles: Use the rate to find out how long it will take him to hike 12 miles on Sunday. Time = Distance / Rate = 12 miles / 2 miles per hour = 6 hours.

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Bobby likes to hike the trails near his house. On Saturday, he spent $4$ hours hiking $8$ miles. On Sunday, he plans to hike $12$ miles. $\newline$ If he hikes at the same rate, how many hours will he spend hiking on Sunday? $\newline$ ____ hours $\newline$

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Grade 6

Ratios and rates: word problems

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Q. Bobby likes to hike the trails near his house. On Saturday, he spent

4

hours hiking

8

miles. On Sunday, he plans to hike

12

miles.

\newline

If he hikes at the same rate, how many hours will he spend hiking on Sunday?

\newline

____ hours

\newline

Calculate Bobby's hiking rate: Calculate Bobby's hiking rate from Saturday. He hiked $8$ miles in $4$ hours. Rate $= \frac{\text{Distance}}{\text{Time}} = \frac{8 \text{ miles}}{4 \text{ hours}} = 2 \text{ miles per hour}.$
Find time to hike $12$ miles: Use the rate to find out how long it will take him to hike $12$ miles on Sunday. Time $= \frac{\text{Distance}}{\text{Rate}} = \frac{12 \text{ miles}}{2 \text{ miles per hour}} = 6$ hours.