Question

Use a railway time table to find the time a certain train takes to travel a definite distance.Find the average speed of 10 different train.


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Answer 1

Answer:

Let the speed of express train be x km/h

Let the speed of passenger train be y km/h

x=y+10

Time is defined as the ratio of distance to speed.

Time of express train is less than passenger train by 2 h

x

400 +2= y400

​

Substituting value of x from (i) in (ii), we get:

y+10

400 +2= y400

​

Rearranging terms, we get:

y 2 +10y−2000=y 2 +50y−40y−2000=0

(y+50)(y−40)=0

y=−50,40

Speed cannot be negative.

y=40

From equation (i), x=y+10=50

Hence,

average speed of express train is 50 km/h

average speed of passenger train is 40 km/h

Explanation: