Examkin

Soru

Zorluk: ZorRound Trips

A courier drives from a dispatch center to a client's location 6060 miles away and then returns to the dispatch center along the exact same route. The outbound drive to the client takes exactly 22 hours. If the courier's average speed for the entire round trip is 2424 miles per hour, what is the courier's average speed on the return trip?

  1. A
    1818 miles per hour
  2. 2020 miles per hourCevap
  3. C
    4040 miles per hour
  4. D
    120120 miles per hour

Cevap

The courier's average speed on the return trip is 2020 miles per hour.
To find the return speed, we first determine the total time of the trip. The total round-trip distance is 120120 miles (6060 miles each way). Using the overall average speed of 2424 mph, the total time is 120÷24=5120 \div 24 = 5 hours. Since the outbound trip took 22 hours, the return trip must have taken 5−2=35 - 2 = 3 hours. Finally, the return speed is the return distance (6060 miles) divided by the return time (33 hours), which equals 2020 miles per hour.

Adım Adım Çözüm

1
Calculate the total round-trip distance.
Total distance = 60×2=12060 \times 2 = 120 miles.
The one-way distance is 6060 miles, so the round trip is twice that amount.
2
Determine the total time taken for the entire round trip.
Total time = 120 miles÷24 mph=5120 \text{ miles} \div 24 \text{ mph} = 5 hours.
Average speed for the entire trip is total distance divided by total time.
3
Calculate the time taken for the return leg.
Return time = 5 hours−2 hours=35 \text{ hours} - 2 \text{ hours} = 3 hours.
The total trip time minus the outbound time gives the time remaining for the return trip.
4
Calculate the average speed for the return trip.
Return speed = 60 miles÷3 hours=2060 \text{ miles} \div 3 \text{ hours} = 20 miles per hour.
Speed is distance divided by time. The return distance is 6060 miles and the return time is 33 hours.

Anahtar Kavram

Round Trip Average Speed
Bu soruyu puanla

Konular

Round Trips

Bu konudan daha fazla soru