Question

4. The distance between two stations A and B is 500 km. Two trains start from stations, at the same time on
tracks to cross each other. The speed of one train is 20 km/h less than that of the other train. After three and a quan
hours, the trains are 45 km apart. Find the speed of each train.
(HOTS) (4 marks)
20-
Solution :
- 500 km
Station A
Station B
Train
from A
Train
from B​

Answer 1

Answer:

The speed of train (1) is 80 km per hour and train (2) 60 km per hour.

Step-by-step explanation:

Let the speed of train (1) = x km per hour

Since other train is running with 20 km per hour less speed than train 1.

Therefore, speed of train (2) = (x - 20) km per hour

Initially both the trains are 500 km apart.

We have to calculate the speed of each train when they are 45 km apart.

that means combined distance traveled by both the trains = 500 - 45

                                                                                                = 455 km

Since both the trains have traveled for 3.25 hours.

Therefore, distance traveled by train (1) = 3.25x

Similarly distance traveled by train (2) = 3.25(x - 20)

Total distance traveled by train (1) and train (2) = 3.25x + 3.25(x - 20)

455 = 3.25x + 3.25x - 65

455 + 65 = 6.5x

x = $\frac{520}{6.5}$

x = 80 km per hour

The speed of train (1) = 80 km per hour

the speed of train (2) = 80 - 20

                                   = 60 km per hour

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