SOLUTION: the distance between 2 towns, A and B, 300 km. C is exactly halfway between A and B.At 09h00 a cyclist leave from B towards C at x km/h and an hour later,at 10h00, `n second cyclis

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: the distance between 2 towns, A and B, 300 km. C is exactly halfway between A and B.At 09h00 a cyclist leave from B towards C at x km/h and an hour later,at 10h00, `n second cyclis      Log On

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Question 1026420: the distance between 2 towns, A and B, 300 km. C is exactly halfway between A and B.At 09h00 a cyclist leave from B towards C at x km/h and an hour later,at 10h00, `n second cyclist leave A towards C and is driving 5km/h faster than the first cyclist. They reach C at the same time.
Questions:
Calculate, in terms of x, the time what each cyclist needed to reach town C.
calculate what time they arrived at town C.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!


A takes 1 hour less than B
150%2Fx+-+1+=+150%2F%28x%2B5%29

150%2Fx++-+150%2F%28x%2B5%29+=1

%28150x+%2B750-150%29%2Fx%28x%2B5%29+=1

750 = x^2+5x
x^2+5x-750=0
x^2+30x-25x-750=0
x(x+30)-25(x+30)=0
(x-25)(x+30)=0
x= 25
B speed = 25km/h
A speed = 30 km/h