SOLUTION: Erin goes off on a long bike ride averaging 10km/hr. One hour later her brother Alistair starts chasing her at 16km/hr. How long will it take Alistair to Erin. Okay so I have c

Question 899789: Erin goes off on a long bike ride averaging 10km/hr. One hour later her brother Alistair starts chasing her at 16km/hr. How long will it take Alistair to Erin.
Okay so I have carefully looked at this and i have a feeling it may something to with simultaneous equations. I know that both would fit on a graph at a set gradient but i dont know what figures to use where and therefore cant get to the actual equations yet. Once i work out my equations I am all good with solving the question. Please this is a question I saw on my study sheet so I dont just need the answer but to understand how to do it
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Erin speed = 10km/h
Alistair speed = 16 km/h
When they meet the distance traveled by both is the same
Let this distance be x
Time taken by Erin - time taken by Alistair to travel x km = 1 hour
t=d/r
x/10-x/16 = 1
multiply equation by LCM 80
8x-5x=80
3x=80
x= 80/3
distance traveled by Alistair = 80/3 km
speed = 16 km/h
t=d/r
(80/3 )/16
5/3
= 1.66 hours
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