Question

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 train is greater than 5km of other. if the distance between the two trains after 2 hours of their start is 30km find the speed of both the trains​

Answer 1

Answer:

Step-by-step explanation:

ANSWER

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

Answer:

80 mph

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.

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