Potter and Malfoy fly on their brooms at full speed directly toward each other. Potter’s broom is 5 times as fast as Malfoy’s, they start 150 meters apart, and they begin flying simultaneously. They collide and Malfoy dies. How far did Malfoy fly?
(A) 125 meters
(B) 120 meters
(C) 36 meters
(D) 30 meters
(E) 25 meters
(B) 120 meters
(C) 36 meters
(D) 30 meters
(E) 25 meters
If Potter flies 5 times faster than Malfoy, then to figure out how far each of them traveled before colliding is just a matter of simple algebra:
Let x = distance covered by Malfoy
Let 5x = distance covered by Potter
x + 5x = 150
6x = 150
x=25
The answer is (E).
source: crushthetest.com
