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Zorluk: KolayRound Trips

A cyclist rides from his home to a nearby park 1212 miles away at a speed of 1212 miles per hour. He returns home along the same route at a speed of 66 miles per hour. What is his average speed for the entire round trip in miles per hour?

  1. A
    99
  2. B
    44
  3. 88Cevap
  4. D
    2424

Cevap

The average speed for the entire round trip is 88 miles per hour.
The correct answer is found by first determining the total distance and total time. The park is 12 miles away, making the round trip 24 miles. The trip there takes 1 hour (12/12) and the trip back takes 2 hours (12/6), for a total of 3 hours. Dividing the total distance (24) by the total time (3) yields an average speed of 8 mph.

Adım Adım Çözüm

1
Calculate the total distance for the round trip.
1212 miles (outbound) + 1212 miles (return) = 2424 total miles.
Average speed requires the total distance traveled over the entire journey.
2
Calculate the time taken for the outbound trip.
1212 miles / 1212 mph = 11 hour.
Time is equal to distance divided by speed.
3
Calculate the time taken for the return trip.
1212 miles / 66 mph = 22 hours.
The cyclist travels the same distance back, but at a slower speed.
4
Calculate the total time for the trip.
11 hour + 22 hours = 33 total hours.
Average speed requires the total duration of the trip.
5
Calculate the average speed for the round trip.
2424 miles / 33 hours = 88 miles per hour.
Average speed is equal to total distance divided by total time.

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Average Speed for Round Trips
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Round Trips

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