If a cyclist travels 25 km/h for 30 minutes and then 20 km/h for 45 minutes, what is the cyclist's average speed for the entire hour?
To calculate the cyclist's average speed for the entire trip, we first need to find the total distance traveled and the total time taken.
Calculate total distance:
For the first segment (25 km/h for 0.5 hours):
Distance1 = Speed × Time = 25km/h × 0.5h = 12.5km
For the second segment (20 km/h for 0.75 hours):
Distance2 = Speed × Time = 20km/h × 0.75h = 15km
Total Distance = Distance1 + Distance2 = 12.5km + 15km = 27.5km
Calculate total time:
Convert time to hours:
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