Math Problem Statement
Solution
Let's solve the question from the image:
Problem: Ajay walked at an average speed of 8 km/h for 45 minutes and then ran at an average speed of 12 km/h for 40 minutes. What was his average speed for the whole journey?
Step 1: Convert time into hours
- Walking:
- Running:
Step 2: Calculate the distances
- Distance walked = Speed × Time =
- Distance ran = Speed × Time =
Step 3: Total distance and total time
- Total distance =
- Total time =
Step 4: Average speed formula
Average speed =
Final Answer:
Ajay's average speed for the whole journey is approximately 9.88 km/h.
Would you like more details or have any further questions?
Here are 5 related questions to expand on this topic:
- How would the average speed change if Ajay ran for 50 minutes instead of 40 minutes?
- What is the significance of average speed compared to instantaneous speed in this context?
- Can you calculate the average speed if both walking and running times are equal?
- How does the formula for average speed differ for equal and unequal time intervals?
- How can you determine average velocity if direction is involved?
Tip: When working with speed problems, always convert time units to hours for consistency in calculations!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Average speed
Unit conversion
Time and distance calculations
Formulas
Distance = Speed × Time
Average speed = Total distance / Total time
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Calculate Average Speed for Mixed-Time Journey
Calculate Average Speed of a Car Traveling in Two Segments
Calculate Average Speed for Two Journey Segments at Different Speeds
Calculate Average Speed for A's Journey with Step-by-Step Solution
Calculate the Average Speed of a Runner Covering 5 km in 22 Minutes