SOLUTION: A and B are cycling along the circular boundary of a playground. If they start towards each other from the opposite end of the diameter 150m long with A riding twice the speed of B
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: A and B are cycling along the circular boundary of a playground. If they start towards each other from the opposite end of the diameter 150m long with A riding twice the speed of B
Log On
Question 454667: A and B are cycling along the circular boundary of a playground. If they start towards each other from the opposite end of the diameter 150m long with A riding twice the speed of B, then find the distance (in terms of pi) traveled by B when two meet. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! pi*d = circumference
diameter = 150m
circumference = 150pi
since they start from opposite ends the distance between them = 150pi/2 = 75 pi.
d=75pi
speed of B= x
Speed of A = 2x
they are riding towards each other.
so add up speeds
speed = 3x
..
Time they meet = 75pi/3x.
..
Time B = 75pi/3x
d= r*t
speed B = x
distance B = 75pi/3x * x
distance B rode = 25 pi
