anonymous
  • anonymous
A mail train and a car starts its journey at the same time, parallel to each other in the same direction. The car starts its journey from the rear end of the train. The car reached the front end of the train and come back to the back end of the train. In the mean time, the mail train travels a distance of 1 km. If the speed and the length of mail train in 1 kmph and 1 km respectively, then how much distance does car travel ? 1) 2 km 2) 1 + root 2 km 3) 2 + root 2 km
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@ganeshie8
ganeshie8
  • ganeshie8
Hey! still here ?
anonymous
  • anonymous
yes

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More answers

ganeshie8
  • ganeshie8
First of all, notice that the total journey has taken \(1\) hour.
ganeshie8
  • ganeshie8
total time of journey = `forward time of journey` + `return time of journey`
ganeshie8
  • ganeshie8
Let \(x\) be the speed of car, when the car is going in the same direction as train, the relative velocity is \(x-1\). since the train is \(1\)km long, the `forward time of journey` is given by \(\dfrac{1~ km}{(x-1) ~km/hr}\)
ganeshie8
  • ganeshie8
similarly, the `return time of journey` is given by \(\dfrac{1~ km}{(x+1) ~km/hr}\)
ganeshie8
  • ganeshie8
since the total time of journey is \(1\) hr, we have : \[\dfrac{1}{x-1}+\frac{1}{x+1}=1\] solve \(x\), the speed of car.
anonymous
  • anonymous
Got it. Thank you so much @ganeshie8 :)
ganeshie8
  • ganeshie8
np :) btw, \(x\) is the speed of car, not the distance travelled by car
ganeshie8
  • ganeshie8
you will need to mulltiply \(x\) by the total time of journey to get the distance travelled
anonymous
  • anonymous
Yes. However, I am not able to split the equation as it is coming out as x2 - 2x -1 = 0
anonymous
  • anonymous
which will be x2-2x + 1x - 1 = 0
ganeshie8
  • ganeshie8
\(x^2 - 2x - 1 = 0\) we could simply use quadritic formula..
anonymous
  • anonymous
Okay.
thomas5267
  • thomas5267
Is the distance travelled by the car independent of its velocity? I couldn't think straight now.

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