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.

Question

Luis Lester

Mathematics

25 December, 02:33

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.

+4

Answers (1)

Know the Answer?

Jalen Bryan · Answer 1

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

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.

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.