Randy and Sandy are 500 km apart. Randy starts driving towards Sandy at 1:00 and maintains a speed of 90 km/h. Sandy starts driving towards Randy at 2:00 and maintains a speed of 105km/h. How far has Randy traveled when they meet?

- anonymous

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- anonymous

I think i need to find the time each has traveled....?

- anonymous

to then determine the distance...since i already have the rate at which each was traveling

- anonymous

just not sure how to do that

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## More answers

- anonymous

sandy's time is 1 less than randys time

- amistre64

randy is an hour ahead and has cut off 90 km of his distance

- anonymous

right

- anonymous

so sandy can be represented as t-1

- amistre64

so start them heading towards each other at a distanceof 500-90

- anonymous

ok they are heading towards each other at a distance of 410

- amistre64

yay!! how much time do they travel combined in 1 hour?

- anonymous

195

- amistre64

195 km right...good
now how many hours is that till they are almost together?

- amistre64

410/195

- anonymous

2

- amistre64

after 2 hours how much distance is left?

- anonymous

2.1 to be exact

- anonymous

20 km

- amistre64

at a combined spped of 195km per hour, how long does it take them to cover 20 km?

- anonymous

195/20

- anonymous

other way around?

- anonymous

.10

- amistre64

and 1/10 of an hour is..... 6 minutes right?

- anonymous

correct

- amistre64

lets make sure this last bit is right....let me go over it...

- anonymous

wait, if it takes them both 2.1 hours to travel the distance

- amistre64

so add an hour to that and use it to calclate randys distance

- anonymous

nevermind i think thats wrong

- amistre64

they meet up at the same point :) when they meet, the distance is traveled

- anonymous

if 410 km is traveled combined in 2.1 hours

- anonymous

do I then make an equation of 2.1= t + (t-1)

- amistre64

yes, when they started together they had a distance of 410 km to cover together, they meet after "so much time" passes".

- amistre64

90t =-105t right? maybe not...but it looks good

- anonymous

im confused now

- amistre64

195t - 410 = 0 is what we want I think

- anonymous

i feel like im making this more complicated than it is

- amistre64

at 195 km/hour and at "t" hours they cover 410 miles, so the distance is 0
195t-410 = 0

- amistre64

t = 410/195

- anonymous

but thats t for both of them

- amistre64

Randy has traveled for an extra hour so
90(t+1) = distance traveled by randy

- anonymous

wow i feel stupid

- anonymous

haha

- amistre64

lol :)

- anonymous

you really are superhero lol

- amistre64

279.23 km ;)
I wanted was hoping for a cool title like "turkey club on rye" but nooooooo.....

- anonymous

i got the answer. HAHAHA

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