a passenger train takes 1 hour more than an Express train to travel a distance of 240 km from Chennai to Virudhachalam .the speed of passenger train is less than that of an Express train by 20 km per hour .find the average speed of both the trains
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Answer:
Let x km per hour be the average speed of the passenger train, then the average speed of the express train will be (x+11) km per hour.
The time taken by the passenger train is
x
132
hour and the time taken by the express train is
(x+11)
132
hour. So,
x+11
132
=
x
132
+1
x
2
+11x−1452=0
x
2
+44x−33x−1452=0
(x−33)(x+44)=0
x=33,x=−44
The speed cannot be negative, so the speed of the passenger train is 33 km per hour and the speed of the express train is 33+11=44 km per hour.
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Step-by-step explanation:train to travel a distance of 240 km from Chennai to Virudhachalam the speed of passenger train is less than that of an Express from bi 20 km per hour find the average speed of both the trains
Step-by-step explanation:
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