Question

The distance between two stations is 340 Km. Two trains start simultaneously from these stations on parallel tracks and cross each other. The speed of one of the them is greater than that of the other by 5 Km/ hr. If the distance between two trains after 2 hours of their start is 30 Km., find the speed of each train.

Answer 1

Answer:

Step-by-step explanation:

Let the trains be A and B.

Speed of A = x km/h

Speed of B = (x+5) km/h  

After 2 hours,

distance travelled by A = 2x km

distance travelled by B = 2(x+5) km = 2x+10 km

Now distance between them is 30km

So 2x + (2x+10) + 30 = 340

4x + 40 = 340

4x = 340 – 40 = 300

x = 300/4 = 75 km/h

x + 5 = 75+5 = 80 km/h

Speed of the trains are 75 km/h and 80 km/h.

Answer 2

Answer:

Step-by-step explanation:

Step-by-step explanation: Let the trains be A and B. Speed of A = x km/h Speed of B = (x+5) km/h   After 2 hours, distance travelled by A = 2x km distance travelled by B = 2(x+5) km = 2x+10 km Now distance between them is 30km So 2x + (2x+10) + 30 = 3404x + 40 = 3404x = 340 – 40 = 300x = 300/4 = 75 km/hr + 5 = 75+5 = 80 km/h Speed of the trains are 75 km/h and 80 km/h