High School

Lauren's SUV traveled 13,500 meters at a speed of 60.0 km/hr. She then drove another 12,800 meters, which took her 15 minutes and 30.0 seconds. What was her average speed?

Answer :

Final answer:

Lauren's average speed for her trip was 54.34 km/hr. This was calculated by adding up the total distance she traveled and dividing it by the total time it took her.

Explanation:

To find Lauren's average speed, we need to add up the total distance she traveled and divide it by the total time it took.

The total distance she traveled is 13,500m + 12,800m = 26,300m (or 26.3 km since 1 km = 1000m).

For the total time, she drove at 60.0 km/hr for the first 13,500m. To convert this distance to hours (since her speed is in km/hr), we need to use the speed equation: Speed = Distance/Time.

Solving for time gives us

Time = Distance/Speed

= 13.5km/60km/hr

= 0.225 hours.

Then, for the second part of her trip, she drove for 15 minutes and 30.0 seconds.

Converting this to hours gives us 15.5/60 = 0.25833 hours

Adding these times together, we get a total time of 0.225 hours + 0.25833 hours = 0.48333 hours. Now, we can find her average speed by dividing her total distance by her total time:

Average speed = Total Distance / Total Time = 26.3 km / 0.48333 hours = 54.34 km/hr.

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