Ask Question
20 June, 11:45

Solve by using the Pythagorean Theorem.

A bus leaves from campus headed east at 35 miles per hour and another bus leaves from campus headed south at 50 miles per hour. How long will it take for the buses to be 366 miles apart? Round answer to the nearest hour.

+5
Answers (1)
  1. 20 June, 12:12
    0
    The relationship of distance-speed-time

    distance = velocity * time

    d = vt

    Given:

    v₁ = 35 mph

    v₂ = 50 mph

    the hypotenuse = 366

    for example h is the time in hour

    Solution:

    d₁² + d₂² = (hypotenuse) ²

    (v₁t) ² + (v₂t) ² = 366²

    (35h) ² + (50h) ² = 366²

    1,225h² + 2,500h² = 133,956

    3,725h² = 133,956

    h² = 133,956 / 3,725

    h² = 35.9613

    h = 5.99

    to the nearest hour ⇒ 6

    The buses will be 366 miles apart in 6 hours
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Solve by using the Pythagorean Theorem. A bus leaves from campus headed east at 35 miles per hour and another bus leaves from campus headed ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers