Question

Two cars leave a school at the same time. One travels north at 60 mph and the other travels south at 45 mph. In how many hours will they be 420 miles apart?

Answer 1

Let A=(4,4), B=(8,4) C=(4,8) if P,Q,R are the midpoints of sides AB,BC & CA respectively & (
`(\alpha ,\beta )`) be the coordinates of orthocenter of ΔPQR, then the value of (
`\alpha +\beta` ) is

A) 8

B) 6

C) 12

D) 16

3

circumference of Δ ABC

⇒ orthocenter of ΔPQR

Answer 2

The distance each car travels per hour is 60t and 45t respectively.

Explanation:

Per the pythagorean theorem, The distance function is

sqrt ( (60t)^2 + (45t)^2 ) =

sqrt( 3600t^2 + 2025t^2 ) =

sqrt( 5625*t^2) =

75t

420 = 75t

420/75 = 5.6 hours

5 hours and 36 minutes