This worksheet helps students practice interpreting distance-time graphs by solving real-world problems involving travel journeys.

Problem Analysis and Solution

The provided document contains two questions related to analyzing distance-time graphs. Let's solve each question step by step.

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Question 1: Class 8A's Journey to the Zoo

#### Graph Description
- The graph shows the distance from school (in miles) on the y-axis and time of day (in hours) on the x-axis.
- The bus leaves school at 09:00 and arrives at the zoo around 11:30.
- There is a flat section in the graph between approximately 10:00 and 10:30, indicating a stop for a picnic.

#### Solutions

(a) What time did the bus leave school?
- The bus leaves school when the distance from school starts increasing.
- From the graph, this occurs at 09:00.

(b) What time did they stop for a picnic?
- The flat section of the graph indicates a stop.
- The flat section begins at 10:00 and ends at 10:30.
- Therefore, they stopped for a picnic starting at 10:00.

(c) How far had they travelled when they stopped for a picnic?
- At the start of the picnic (10:00), the distance from school is shown on the y-axis.
- From the graph, the distance at 10:00 is approximately 60 miles.

(d) How long did they stop for?
- The flat section of the graph represents the duration of the stop.
- The flat section starts at 10:00 and ends at 10:30.
- Therefore, they stopped for 30 minutes.

(e) What time did they arrive at the zoo?
- The bus arrives at the zoo when the distance reaches its maximum value.
- From the graph, the maximum distance is reached at 11:30.

(f) How far is the zoo from school?
- The maximum distance on the graph represents the distance from school to the zoo.
- From the graph, the maximum distance is 100 miles.

#### Final Answers for Question 1
- (a) 09:00
- (b) 10:00
- (c) 60 miles
- (d) 30 minutes
- (e) 11:30
- (f) 100 miles

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Question 2: Emma's Journey to Her Grandmother's House and Back

#### Graph Description
- The graph shows the distance from home (in miles) on the y-axis and time of day (in hours) on the x-axis.
- Emma travels to her grandmother's house and then returns home.
- The flat section in the middle of the graph indicates the time she spent at her grandmother's house.

#### Solutions

(a) What time did Emma begin her journey?
- Emma begins her journey when the distance from home starts increasing.
- From the graph, this occurs at 7:00.

(b) How far was Emma from home at 8:00?
- At 8:00, the distance from home is shown on the y-axis.
- From the graph, the distance at 8:00 is approximately 40 miles.

(c) How long did Emma stay at her grandmother's house?
- The flat section of the graph represents the time Emma spent at her grandmother's house.
- The flat section starts at 8:00 and ends at 10:00.
- Therefore, she stayed for 2 hours.

(d) What time did Emma leave her grandmother's house?
- Emma leaves her grandmother's house when the flat section ends and the distance starts decreasing.
- From the graph, this occurs at 10:00.

(e) How far was Emma from home at 11:45?
- At 11:45, the distance from home is shown on the y-axis.
- From the graph, the distance at 11:45 is approximately 15 miles.

(f) How far did Emma travel in total?
- Emma's total travel distance is the sum of the distance to her grandmother's house and the distance back home.
- From the graph:
- Distance to her grandmother's house: 40 miles
- Distance back home: 40 miles
- Total distance = 40 + 40 = 80 miles

#### Final Answers for Question 2
- (a) 7:00
- (b) 40 miles
- (c) 2 hours
- (d) 10:00
- (e) 15 miles
- (f) 80 miles

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Final Answer Summary

- Question 1:
- (a) 09:00
- (b) 10:00
- (c) 60 miles
- (d) 30 minutes
- (e) 11:30
- (f) 100 miles

- Question 2:
- (a) 7:00
- (b) 40 miles
- (c) 2 hours
- (d) 10:00
- (e) 15 miles
- (f) 80 miles

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Question 1:} & \text{(a) 09:00, (b) 10:00, (c) 60 miles, (d) 30 minutes, (e) 11:30, (f) 100 miles} \\
\text{Question 2:} & \text{(a) 7:00, (b) 40 miles, (c) 2 hours, (d) 10:00, (e) 15 miles, (f) 80 miles}
\end{array}
}
\]