Question

the distance between two stations A&B is 500km. two trains start from stations, at the same time on parllel tracks to cross each other. the speed of one train is 20km/h less than that of other trains. After three and a quarter hours the trains are 45km a part. find the speed each train

Answer 1

Answer:

Distance of two station = A and B = 540 km

when the same time interval , parallel tracks to cross each other

here two trains ,

speed of slower Train = X km / h

distance between the trains = 45 km

speed of faster Train = (X+20) km/h

( the same time on parllel tracks to cross each other. the speed of one train is 20km/h less than that of other trains)

Time interval = quarter hour (0.25 hour)

= 15 minute

both trains travel towards each other,

( their direction is opposite )

Relative speed = X + X + 20 = 2x + 20

Then apply formula,

speed = displacement / time interval

Time interval = displacement / speed

time = Distance between two trains / their speed

0.25 hour = 45/(2x + 20 )

45/(2x+20) = 0.25

45 = 0.5X + 5

0.5X = 45 - 5

0.5X = 40

X = 40/0.5

X = 80 km /h

speed of slower Train = X = 80 km / h

speed of faster Train = X + 20

= 80 + 20

= 100 km / h

Hope it helps to u ... :)

Answer 2

Step-by-step explanation:

the answer is provided in the image

please refer to the image

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