Question

Two cars leave the same location at 2:00 P.M. If one

car travels north at the rate of 30 m.p.h. and the
other travels east at 40 m.p.h., how many miles apart
are the two cars at 4:00 P.M.?
A) 50
B) 100
C) 120
D) 140

Answer 1

Explanation:

Answer 2

The cars are 100 miles apart at 4:00 pm.

Explanation: Since north and east are perpendicular, this scenario creates a right triangle. where one side is 30(x) and the other is 40(x), where x is the number or miles traveling. We know that x = 2. So it’s a right triangle with sides 60 and 80.

Now we use the Pythagorean Theorem, which is: a² + b² = c².
80² + 60² = 3600 + 6400 = 10000

Now we take the square root of 10000.
√10000 = 100, because 100² = 10000.

Hope this helps.