Share the driving
Zaux and Cam took turns driving on a round trip using the same route both ways.Zaux drove the first 40 kilometers and then Cam drove the rest of the way.Zaux started to drive on the return trip and then Cam drove the last 50 kilometers.
who drove more and by how many?
who drove more and by how many?
posted by Knightmare at
11:08 PM
11 Comments:
Cam by 20 km.
Let the length of the route be R.
Then R = Z40 + Cx = Zy + C50 and so Cx - Zy = C50 - Z40 = 10
Difference in driving distance, D = (C50 + Cx) - (Zy + Z40)
=> D = (C50 - Z40) + (Cx - Zy) = 2(C50 - Z40) = 20
As the is greter than 0. Cam drove 20 miles more than Zaux.
you got her Chris
whatever the total distance is,doesn't matter-it's always going to be Cam by 20 kilometers.
c1=?
z1=40
c2=50
z2=?
c1+z1=d=c2+z2
c1+40=z2+50
c1-z2=50-40
c1-z2=10
c2-z1=50-40
c2-z1=10
c1-z1= amount Cam drove more than Zaux on 1st trip
c2-z2= amount Cam drove more on return trip
(c1-z2)+(c2-z1)=(c2-z2)+(c1-z1)
(c2-z2)+(c1-z1)=10+10=20
Answer:
20 km
Cam
Nice problem (as was the clock one). I thought this one wasn't possible to do at first.
Chris...it is 8:00 am there,and knowing you,i don't know if you are staying up late,or just waking up!
For that reason, I'm orft for my beauty sleep.
wow :O you'll had a busy time while I was off lazing around and sleeping!
20 kms.. i found the question today only! Quite late..
Seems I'm a little late too. Always going to be 20km whatever the distance travelled.
I would suggest next time using proper distance units, like miles. None of this new-fangled rubbish.
a kilometer? ... must be a new device to measure the murder rate in a particular locale ...
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