A passange train take 2 hours more than an express train to travel a distance of 240 km from wardha to akola the speed of the passenger train is less than that of an express train by 20km/hr find the average apeed of both the train
Answers
Answer:
Answer: speed of the passenger train is 40km/h
Speed of the express train is 60km/h
Step-by-step explanation: Let the speed of the passenger train is x km/h
Speed of the express train is y km/h
A/c to question,
Passenger train takes 2 hours more than an express train to travel a distance of 240km. Also the speed of the express train is more than that of the passenger train by 20km/h
e.g., x + 20 = y (1)
240/x = 240/y + 2 (2) [ time = distance/speed ]
⇒ 240/x - 240/(x +20) = 2 [ putting equation (1) in equation (2); ]
⇒ 240 [ (x + 20 - x)/x(x +20) ] = 2
⇒ 120 [ 20/(x² + 20x) ] = 1
⇒ 120 × 20 = x² + 20x
⇒ x² + 20x - 2400 = 0
⇒ x² + 60x - 40x -2400 = 0
⇒ x(x + 60) -40(x + 60) = 0
⇒ (x + 60)(x - 40) = 0
⇒ x = 40 and -60 but speed can’t be negative so, x ≠ -60 km/h
Hence, speed of the passenger train is 40km/h
And speed of the express train is 60km/h
Step-by-step explanation: