High School

A molar duck is 56 to 65 cm long. If the duck traveled 97.8 miles at top speed in one and a half hours, how far did it travel in one hour?

Answer :

Final answer:

The duck traveled 65.2 miles in one hour by dividing the total distance traveled in one and a half hours (97.8 miles) by 1.5.

Explanation:

To determine how far the duck traveled in one hour given its travel distance of 97.8 miles in one and a half hours, we use the concept of proportion. Since the speed is constant, the distance traveled in one hour will be two-thirds of the distance traveled in one and a half hours. First, we calculate the distance for one hour:

  • (Distance traveled in 1.5 hours) / 1.5 = (Distance traveled in 1 hour)
  • (97.8 miles) / 1.5 = (Distance traveled in 1 hour)
  • 65.2 miles = (Distance traveled in 1 hour)

Therefore, the duck traveled 65.2 miles in one hour.