Ask Question
4 July, 10:50

A plane flies from Springville to Brockton and then back to Springville. When there is no wind, the round trip takes 6 hours and 24 minutes, but when there is a wind blowing from Springville to Brockton at 50 miles per hour, the trip takes 6 hours and 40 minutes. How many miles is the distance from Springville to Brockton?

+2
Answers (1)
  1. 4 July, 12:50
    0
    Step-by-step explanation:

    Let x represent the speed of the plane in still air.

    When there is no wind, the round trip takes 6 hours and 24 minutes. Converting to hours, it becomes

    6 + 24/60 = 6 + 0.4 = 6.4 hours

    Distance = speed * time

    Distance of the round trip = 6.4x

    But when there is a wind blowing from Springville to Brockton at 50 miles per hour, the trip takes 6 hours and 40 minutes. Converting 6 hours and 40 minutes, it becomes

    6 + 40/60 = 6 2/3 = 20/3 hours

    The total speed would be

    (x - 50) miles per hour

    Distance covered = 20/3 (x - 50)

    Therefore, since both round trips are the same distance, then,

    6.4x = 20/3 (x - 50)

    Cross multiplying by 3, it becomes

    19.2x = 20 (x - 50)

    19.2x = 20x - 1000

    20x - 19.2x = 1000

    0.8x = 1000

    x = 1000/0.8 = 1250 mph

    Distance covered on the round trip is

    6.4x = 6 * 1250 = 7500 miles

    Therefore, the distance from Springville to Brockton is

    7500/2 = 3750 miles
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A plane flies from Springville to Brockton and then back to Springville. When there is no wind, the round trip takes 6 hours and 24 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers