original 22. The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.
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2
Answer:
80
Explanation:
Let the ‘r’ be the speed of the first train.
Similarly, the speed of the second train is ‘r + 5‘.
The distance travelled by first train in 2 hours=2r
.
The distance travelled by second train in 2 hours=(r+5)×2=2(r+5)
.
Now, we know that the distance the first train travels i.e. ‘2r’ plus the distance the other train travels i.e. ‘2(r+5)’ is equal to 340−30=310
.
This implies that
2r+2(r+5)=310⇒2r+2r+10=310⇒4r=300⇒r=75
Thus, the speed of the first train is 75 kmph.
Speed of other train:
⇒r+5⇒75+5⇒80
Therefore, the speed of other trains is 80 kmph.
This implies that the speed of the first train is 75 kmph and the second train is 80 kmph.
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