The distance between Akola and Bhusawal is 168km.An express train takes 1hour less than a passenger train to cover the distance. Find the average speed of each train ir average speed of express train is more by 14km/hr than the speed of passenger train
Answers
The average speed of passenger train = 42 km/hr
The average speed of express train = 56 km/hr
Step-by-step explanation:
Given,
The distance between Akola and Bhusawal is = 168 km
Consider the average speed of passenger train = (x) km/hr
Consider the average speed of express train = (x+14) km/hr
we know that
The time take by the passenger train to reach the distance =
The time take by the express train to reach the distance =
As per problem ..................equation 1
For Quadratic Equation
the value of
when Discriminant (D) is positive, we get two Real solutions for x
when Discriminant (D) is zero we get just ONE real solution (both answers are the same)
when Discriminant (D) is negative we get a pair of Complex solutions
In equation 1 the Discriminant (D) is =
As the Discriminant (D) is positive, we get two Real solutions for x
therefore the value of x is either
or,
As speed is not consider as a negative value so we take the positive value of x=42
therefore,
The average speed of passenger train = 42 km/hr
The average speed of express train = (42+14)=56 km/hr