Math Problem Statement

The average speed of the bus between Hawkes Meadow and Brunswick Street is 29 km/h. Work out how many kilometres the bus travels between these two stops. If your answer is a decimal, give it to 1 decimal place.

Solution

To find the distance the bus travels between Hawkes Meadow and Brunswick Street, we need to use the relationship:

Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}

Step-by-Step Solution:

  1. Identify the Speed: The bus travels at an average speed of 29 km/h between Hawkes Meadow and Brunswick Street.

  2. Calculate the Time:

    • At Hawkes Meadow, the time is 14:25.
    • At Brunswick Street, the time is 14:40.
    • The time difference is 14:40 - 14:25, which equals 15 minutes.
  3. Convert Time to Hours:

    • Since the speed is in km/h, we need the time in hours.
    • 15 minutes is equal to 1560=0.25\frac{15}{60} = 0.25 hours.
  4. Calculate the Distance: Distance=29km/h×0.25hours=7.25km\text{Distance} = 29 \, \text{km/h} \times 0.25 \, \text{hours} = 7.25 \, \text{km}

Answer:

The bus travels 7.3 km (rounded to 1 decimal place) between Hawkes Meadow and Brunswick Street.


Would you like further details or have any questions?

Here are some related questions to deepen your understanding:

  1. How would the distance change if the average speed were increased to 35 km/h?
  2. What would be the new travel time between the stops if the distance remained the same but the speed dropped to 20 km/h?
  3. How would we calculate the total distance traveled if all stops' distances were given in a similar way?
  4. If the bus encountered a delay at Brunswick Street, how would that affect the calculation?
  5. How would you convert the answer to meters instead of kilometers?

Tip: Always ensure units are consistent when using formulas for speed, distance, and time calculations.

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Math Problem Analysis

Mathematical Concepts

Speed, Distance, and Time
Unit Conversion

Formulas

Distance = Speed × Time

Theorems

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Suitable Grade Level

Grades 7-9