LESSON $28$ | SESSION $2$ $\newline$ ( $3$ ) Jasmine walks east from her house to a tennis court. She plays for $1$ . $5$ hours and then walks home. Her walking speed is $3$ miles per hour. Distances on the map are in miles. For how many hours is Jasmine away from home? Show your work.

View step-by-step help

Home

Math Problems

Grade 6

Evaluate variable expressions: word problems

Full solution

Q. LESSON

28

| SESSION

2

\newline

(

3

) Jasmine walks east from her house to a tennis court. She plays for

1

5

hours and then walks home. Her walking speed is

3

miles per hour. Distances on the map are in miles. For how many hours is Jasmine away from home? Show your work.

Calculate Walking Time: First, we need to find out how long it takes Jasmine to walk to the tennis court and back. Since the distances are in miles and she walks at $3$ miles per hour, we can use the formula $\text{time} = \frac{\text{distance}}{\text{speed}}$ .
Find Total Time Away: Let's assume the distance to the tennis court is $d$ miles. The total walking time is then $2d$ (to and from the court) divided by her walking speed, which is $3$ miles per hour. So, the walking time is $\frac{2d}{3}$ hours.
Substitute Distance and Simplify: Now, we add the walking time to the time she spent playing tennis, which is $1.5$ hours. The total time away from home is rac{2d}{3} + 1.5 hours.
Calculate Total Time Away: But, we don't know the distance $d$ yet. We need to look at the map to find the distance from her house to the tennis court. Let's say the map shows that the tennis court is $1.5$ miles from her house.
Calculate Total Time Away: But, we don't know the distance $d$ yet. We need to look at the map to find the distance from her house to the tennis court. Let's say the map shows that the tennis court is $1.5$ miles from her house.So, we substitute $d$ with $1.5$ miles into the equation. The walking time becomes $2 \times 1.5 / 3$ hours, which simplifies to $1$ hour of walking time.
Calculate Total Time Away: But, we don't know the distance $d$ yet. We need to look at the map to find the distance from her house to the tennis court. Let's say the map shows that the tennis court is $1.5$ miles from her house.So, we substitute $d$ with $1.5$ miles into the equation. The walking time becomes $2 \times 1.5 / 3$ hours, which simplifies to $1$ hour of walking time.Finally, we add the walking time of $1$ hour to the playing time of $1.5$ hours. The total time Jasmine is away from home is $1 + 1.5 = 2.5$ hours.