Average Speed between two cities

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SUMMARY

Pauline's trip involves multiple segments of driving and a break, totaling 94 minutes. She drives for 31 minutes at 82 km/hr, 23 minutes at 51 km/hr, and 15 minutes at 44 km/hr, with a 25-minute break in between. To calculate her average speed, the total distance covered must be divided by the total time, which is 94 minutes. The distances for each segment are calculated using the formula: distance = speed × time.

PREREQUISITES
  • Understanding of average speed formula: total distance/time
  • Basic knowledge of unit conversion (minutes to hours)
  • Ability to perform calculations involving speed, time, and distance
  • Familiarity with driving speed measurements in kilometers per hour
NEXT STEPS
  • Calculate total distance for each driving segment using the formula: distance = speed × time
  • Convert total time from minutes to hours for average speed calculation
  • Learn about unit conversions between kilometers and kilometers per hour
  • Explore real-world applications of average speed calculations in travel planning
USEFUL FOR

Students, educators, and anyone interested in solving real-life average speed problems, particularly in travel and logistics contexts.

Chiffy
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Pauline travels between two cities. First she drives for 31 minutes at an average speed of 82 km/hr then for 23 minutes at an average speed of 51 km/hr, then she spends 25 minutes eating lunch and buying gas, and then she drives for 15 minutes at an average speed of 44 km/hr.

Find Pauline’s average speed for this trip. Express it in kilometers and round your answer to the nearest kilometer

I know I have to use the average speed formula, which is total distance/time (94 minutes in this case). How do I get the time taken from 31 minutes at an average speed of 82km/hr, etc...?
 
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Hello Chiffy, and welcome to PF. Posting a question means filling in the template.

Homework Statement


Pauline travels between two cities. First she drives for 31 minutes at an average speed of 82 km/hr then for 23 minutes at an average speed of 51 km/hr, then she spends 25 minutes eating lunch and buying gas, and then she drives for 15 minutes at an average speed of 44 km/hr.
Find Pauline’s average speed for this trip. Express it in kilometers and round your answer to the nearest kilometer
Expresssing a speed in kilometers is going to be very impossible. perhaps they want kilometers per hour ?​

Homework Equations


average speed formula, which is total distance/time

The Attempt at a Solution


oops. Something like: I have total time, now all I need is total distance. That is distance covered in first 31 min plus distance .. etc. Not so difficult, right ? Except for the last part, perhaps.

Your question:
How do I get the time taken from 31 minutes at an average speed of 82km/hr, etc...?
Is answered with: "31 minutes" etc.

Not what you hoped for, I suppose. Perhaps you want the distance ? 1 hour 82 km, 2 hours 2 * 82 km, 1/2 hour: 1/2 hour * 82 km/hour = 41 km. Recognize the pattern ?
 
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