Problema Solution
A biker sets out from point A to point B. During the first hour he gets 0.25 of the way there; during the second hour he covers an additional 0.2 of the distance and, during the third hour, he covers 0.3 of the distance. After three hours, how much of the total distance has the biker traveled, and how far does he still have to go?
Answer provided by our tutors
let 'x' represent the total distance from point A to point B
During the first hour he gets 0.25 of the way there: 0.25x
During the second hour he covers an additional 0.2 of the distance: 0.2x
During the third hour, he covers 0.3 of the distance: 0.3x
the total distance the biker traveled is:
0.25x + 0.2x + 0.3x = (0.25 + 0.2 + 0.3)x = 0.75x or 75% of the total distance
the biker has: x - 0.75x = (1 - 0.75)x = 0.25x or 25% of the total distance left to go.