How do I find the average speed for this problem?

Click For Summary
SUMMARY

To find Julie's average speed on her trip to Grandmother's house, calculate the total time taken for each segment of the journey. Julie drives 100 miles, with half the distance (50 miles) at 42 mi/hr and the other half at 68 mi/hr. The total time is the sum of the time taken for each segment, which is 50/42 + 50/68 hours. The average speed is then determined by dividing the total distance by the total time.

PREREQUISITES
  • Understanding of average speed calculation
  • Basic algebra for solving equations
  • Knowledge of distance, speed, and time relationships
  • Familiarity with unit conversions (if necessary)
NEXT STEPS
  • Learn how to calculate average speed using the formula: Average Speed = Total Distance / Total Time
  • Study the concept of harmonic mean for average speeds in different segments
  • Explore practical applications of speed calculations in real-world scenarios
  • Practice similar problems involving varying speeds over different distances
USEFUL FOR

Students in mathematics or physics courses, educators teaching average speed concepts, and anyone needing to solve real-world problems involving travel and speed calculations.

ixerr
Messages
24
Reaction score
0

Homework Statement


I don't know how to start.. someone please give me a step-by-step explanation.
Julie drives 100 mi to Grandmother's house. On the way there she drives half of the distance at 42 mi/hr and half the distance at 68 mi/hr. What is Julie's average speed (in mi/hr) on the way to Grandmother's house?


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
You know the total distance, so you need to work out the total time taken. To do this, work out the travel time on each different section, and then add them up.

If you do it this way, you'll avoid falling into the trap ! :smile:
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
45
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
20
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 3 ·
Replies
3
Views
18K
  • · Replies 9 ·
Replies
9
Views
5K
Replies
5
Views
17K