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 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., the speed of each train is[[1]]kmph.

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 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., the speed of each train is[[1]]kmph.

Accepted Answer

Concept- The speed of each train is 80 kmph. First, we set the first train's speed to "r" miles per hour and the remaining trains' speeds to be greater than 5 in relation to the first train. This suggests that the second train will travel at a speed of "r + 5" per hour. Now, we can quickly determine the two trains' speeds. From 340km, we deduct 30km, add the distance covered by the train in two hours, and arrive at 310km. This gives us both distances.
Let r represent the first train's speed.
The first train covered the distance in 2 hours or 2r.
The distance covered in 2 hours by the second train is

(r + 5) 2 = 2 (r + 5) .

Now that we know,

34030 = 310

The distance covered by the first train

(i . e ., " 2 r")

plus the second train

(i . e ., " 2 (r + 5) ") .

According to this,

2 r + 2 (r + 5) = 310,

2 r + 2 r + 10 = 310,

4 r = 300, and 75

Consequently, the first train travels at a

75 kmph

speed.
Other train's speed:

r + 75 + 5

As a result, other trains go at a speed of

80 kmph

.
So, the first train is traveling at

75 kmph

, while the second is traveling at

80 kmph .

Hence, the correct answer is 80 kmph.

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