anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I think i need to find the time each has traveled....?
anonymous
  • anonymous
to then determine the distance...since i already have the rate at which each was traveling
anonymous
  • anonymous
just not sure how to do that

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More answers

anonymous
  • anonymous
sandy's time is 1 less than randys time
amistre64
  • amistre64
randy is an hour ahead and has cut off 90 km of his distance
anonymous
  • anonymous
right
anonymous
  • anonymous
so sandy can be represented as t-1
amistre64
  • amistre64
so start them heading towards each other at a distanceof 500-90
anonymous
  • anonymous
ok they are heading towards each other at a distance of 410
amistre64
  • amistre64
yay!! how much time do they travel combined in 1 hour?
anonymous
  • anonymous
195
amistre64
  • amistre64
195 km right...good now how many hours is that till they are almost together?
amistre64
  • amistre64
410/195
anonymous
  • anonymous
2
amistre64
  • amistre64
after 2 hours how much distance is left?
anonymous
  • anonymous
2.1 to be exact
anonymous
  • anonymous
20 km
amistre64
  • amistre64
at a combined spped of 195km per hour, how long does it take them to cover 20 km?
anonymous
  • anonymous
195/20
anonymous
  • anonymous
other way around?
anonymous
  • anonymous
.10
amistre64
  • amistre64
and 1/10 of an hour is..... 6 minutes right?
anonymous
  • anonymous
correct
amistre64
  • amistre64
lets make sure this last bit is right....let me go over it...
anonymous
  • anonymous
wait, if it takes them both 2.1 hours to travel the distance
amistre64
  • amistre64
so add an hour to that and use it to calclate randys distance
anonymous
  • anonymous
nevermind i think thats wrong
amistre64
  • amistre64
they meet up at the same point :) when they meet, the distance is traveled
anonymous
  • anonymous
if 410 km is traveled combined in 2.1 hours
anonymous
  • anonymous
do I then make an equation of 2.1= t + (t-1)
amistre64
  • amistre64
yes, when they started together they had a distance of 410 km to cover together, they meet after "so much time" passes".
amistre64
  • amistre64
90t =-105t right? maybe not...but it looks good
anonymous
  • anonymous
im confused now
amistre64
  • amistre64
195t - 410 = 0 is what we want I think
anonymous
  • anonymous
i feel like im making this more complicated than it is
amistre64
  • amistre64
at 195 km/hour and at "t" hours they cover 410 miles, so the distance is 0 195t-410 = 0
amistre64
  • amistre64
t = 410/195
anonymous
  • anonymous
but thats t for both of them
amistre64
  • amistre64
Randy has traveled for an extra hour so 90(t+1) = distance traveled by randy
anonymous
  • anonymous
wow i feel stupid
anonymous
  • anonymous
haha
amistre64
  • amistre64
lol :)
anonymous
  • anonymous
you really are superhero lol
amistre64
  • amistre64
279.23 km ;) I wanted was hoping for a cool title like "turkey club on rye" but nooooooo.....
anonymous
  • anonymous
i got the answer. HAHAHA

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