Math, asked by preeti3940, 1 year ago

an Express train takes 1 hour less than a passenger train to travel 168 km between two station stoppage time between two station is not considered if the average speed of the express train is 14km/hour more than the passenger train find the average speeds of the two train

Answers

Answered by smartAbhishek11
7
see the pic ...


Let the speed of passenger train be x km/hour.  Then speed of express train will be x + 11 km/hour

Time taken by the passenger train = 168/ x

Attachments:
Answered by Anonymous
10

Answer:

Time taken by the Express train =

132 / x + 11 hours.

According to question

132 / x - 132 / x + 11 = 1

 =  > 132 \: (x + 11 - x) \div x {}^{2} + 11x = 1

 =  > 1452  = x {}^{2} + 11x

 =  > x  {}^{2} + 11x - 1452 = 0

 =  > x {}^{2} + 44x - 33x - 1452 = 0

 =  > x(x + 44) - 33(x + 44) = 0

 =  > (x - 33)(x + 44) = 0

Therefore, x = 33 or x = - 44 (Rejected)

This speed of passenger train is 33km/h and that of Ėxpress Train = 44km/hour.

Step-by-step explanation:

@GENIUS

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