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?

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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?

Mathematics
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I think i need to find the time each has traveled....?
to then determine the distance...since i already have the rate at which each was traveling
just not sure how to do that

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Other answers:

sandy's time is 1 less than randys time
randy is an hour ahead and has cut off 90 km of his distance
right
so sandy can be represented as t-1
so start them heading towards each other at a distanceof 500-90
ok they are heading towards each other at a distance of 410
yay!! how much time do they travel combined in 1 hour?
195
195 km right...good now how many hours is that till they are almost together?
410/195
2
after 2 hours how much distance is left?
2.1 to be exact
20 km
at a combined spped of 195km per hour, how long does it take them to cover 20 km?
195/20
other way around?
.10
and 1/10 of an hour is..... 6 minutes right?
correct
lets make sure this last bit is right....let me go over it...
wait, if it takes them both 2.1 hours to travel the distance
so add an hour to that and use it to calclate randys distance
nevermind i think thats wrong
they meet up at the same point :) when they meet, the distance is traveled
if 410 km is traveled combined in 2.1 hours
do I then make an equation of 2.1= t + (t-1)
yes, when they started together they had a distance of 410 km to cover together, they meet after "so much time" passes".
90t =-105t right? maybe not...but it looks good
im confused now
195t - 410 = 0 is what we want I think
i feel like im making this more complicated than it is
at 195 km/hour and at "t" hours they cover 410 miles, so the distance is 0 195t-410 = 0
t = 410/195
but thats t for both of them
Randy has traveled for an extra hour so 90(t+1) = distance traveled by randy
wow i feel stupid
haha
lol :)
you really are superhero lol
279.23 km ;) I wanted was hoping for a cool title like "turkey club on rye" but nooooooo.....
i got the answer. HAHAHA

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