Question

The distance between two stations is 340 km. Two trains start simultaneously from the stations on parallel tracks to cross each other . The speed of one of them is greater than that of other by 5 kilometre per hour. If the distance between the two trains after 2 hours of their start is 30km find the speed of each train ​ Please help !!

Answer 1

Answer:

Step-by-step explanation:

Let r be the speed of first train.

And r+5 be the speed of other train.

The distance first train travels in 2 hours is =2r

The distance other train travels in 2 hours is (r+5)×2=2(r+5)

Now we know that the distance the first train travels (2r) plus the distance the other train travels 2(r+5) equals 340−30=310.

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

⇒2r+2r+10=310

⇒4r=300

⇒r=75

Thus, speed of first train is 75 mph.

Therefore, the speed of other train is r+5=75+5=80 mph.

Answer 2

Let r be the speed of first train.
And r+5 be the speed of other train.

The distance first train travels in 2 hours is =2r
The distance other train travels in 2 hours is (r+5)×2=2(r+5)
Now we know that the distance the first train travels (2r) plus the distance the other train travels 2(r+5) equals 340−30=310.

So, 2r+2(r+5)=310
⇒2r+2r+10=310

⇒4r=300

⇒r=75
Thus, speed of first train is 75 mph.

Therefore, the speed of other train is r+5=75+5=80 mph.