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anonymous
 one year ago
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
anonymous
 one year ago
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

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1First of all, notice that the total journey has taken \(1\) hour.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1total time of journey = `forward time of journey` + `return time of journey`

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Let \(x\) be the speed of car, when the car is going in the same direction as train, the relative velocity is \(x1\). since the train is \(1\)km long, the `forward time of journey` is given by \(\dfrac{1~ km}{(x1) ~km/hr}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1similarly, the `return time of journey` is given by \(\dfrac{1~ km}{(x+1) ~km/hr}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1since the total time of journey is \(1\) hr, we have : \[\dfrac{1}{x1}+\frac{1}{x+1}=1\] solve \(x\), the speed of car.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Got it. Thank you so much @ganeshie8 :)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1np :) btw, \(x\) is the speed of car, not the distance travelled by car

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1you will need to mulltiply \(x\) by the total time of journey to get the distance travelled

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes. However, I am not able to split the equation as it is coming out as x2  2x 1 = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0which will be x22x + 1x  1 = 0

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\(x^2  2x  1 = 0\) we could simply use quadritic formula..

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0Is the distance travelled by the car independent of its velocity? I couldn't think straight now.
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