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

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) (Show Source): You can put this solution on YOUR website!

A takes 1 hour less than B

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
RELATED QUESTIONS
Two town A and B are 300 km apart. C is exacly halfway between A and B. A cyclist departs (answered by ankor@dixie-net.com)

The distance between two towns A and B, is 90 km. John cycles from A to B whereas Harry... (answered by josmiceli)

The distance between two towns A and B, is 90 km. John cycles from A to B whereas Harry (answered by htmentor)

The distance between two towns A and B; is 90 km. John cycles from A to B whereas Harry... (answered by josgarithmetic,ikleyn)

2 cars start at the same time from towns a and b, and travel with constant but different... (answered by ankor@dixie-net.com)

Two towns A and B are 640km apart. A motor cyclist leaves A at 08h00 and drives in the... (answered by rwm)

The distance between towns A to B is equal to 48 km. The road connecting A and B is not... (answered by TimothyLamb)

The distance between two stations A and B is 300 km. Two motor cyclists start... (answered by mananth)

if the distance between towns A and B is 1350 km and the distance A and C in the same... (answered by ikleyn)