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Zorluk: KolayCalculating Rate and Time

Match each travel scenario to the correct amount of time it takes to complete the journey.

  • A delivery van drives 150150 miles at an average rate of 5050 mph.33 hours
  • A cargo ship sails 8080 miles at a constant rate of 2020 mph.44 hours
  • A marathon runner covers 1616 miles at a steady pace of 88 mph.22 hours
  • A commuter train travels 300300 miles at an average rate of 6060 mph.55 hours

Cevap

The delivery van takes 3 hours, the cargo ship takes 4 hours, the marathon runner takes 2 hours, and the commuter train takes 5 hours.
Each correct match is determined by taking the stated distance in miles and dividing it by the average speed in miles per hour (t=drt = \frac{d}{r}). Because the difficulty is intentionally basic, all divisions result in clean, whole-number integer hours.

Adım Adım Çözüm

1
Identify the given distance (dd) and rate (rr) for each scenario.
Van: (150150 mi, 5050 mph), Ship: (8080 mi, 2020 mph), Runner: (1616 mi, 88 mph), Train: (300300 mi, 6060 mph).
These variables are required to apply the fundamental distance formula.
2
Apply the formula for calculating time: t=drt = \frac{d}{r}.
Van: 15050=3\frac{150}{50} = 3. Ship: 8020=4\frac{80}{20} = 4. Runner: 168=2\frac{16}{8} = 2. Train: 30060=5\frac{300}{60} = 5.
Dividing the total distance traveled by the constant rate yields the total elapsed time.

Anahtar Kavram

Calculating elapsed time using the distance-rate-time relationship (t=drt = \frac{d}{r}).
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