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?

Question

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 · Answer

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

anonymous · Answer

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

anonymous · Answer

just not sure how to do that

anonymous · Answer

sandy's time is 1 less than randys time

amistre64 · Answer

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

anonymous · Answer

right

anonymous · Answer

so sandy can be represented as t-1

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

195

amistre64 · Answer

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

amistre64 · Answer

410/195

anonymous · Answer

2

amistre64 · Answer

after 2 hours how much distance is left?

anonymous · Answer

2.1 to be exact

anonymous · Answer

20 km

amistre64 · Answer

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

anonymous · Answer

195/20

anonymous · Answer

other way around?

anonymous · Answer

.10

amistre64 · Answer

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

anonymous · Answer

correct

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

nevermind i think thats wrong

amistre64 · Answer

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

anonymous · Answer

if 410 km is traveled combined in 2.1 hours

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

im confused now

amistre64 · Answer

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

anonymous · Answer

i feel like im making this more complicated than it is

amistre64 · Answer

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

amistre64 · Answer

t = 410/195

anonymous · Answer

but thats t for both of them

amistre64 · Answer

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

anonymous · Answer

wow i feel stupid

anonymous · Answer

haha

amistre64 · Answer

lol :)

anonymous · Answer

you really are superhero lol

amistre64 · Answer

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

anonymous · Answer

i got the answer. HAHAHA