Question

Two trains travel toward each other from points which are 195 miles apart. They travel at rate of 25 and 40 miles an hour respectively. If they start at the same time, how soon will they meet?

Answer 1

Answer: it will take 3 hours for both trains to meet.

Step-by-step explanation:

Let t represent the time it will take for both trains to meet.

The two trains travel toward each other from points which are 195 miles apart. It means that after t hours, the total distance that both trains would have covered is 195 miles.

Distance = speed × time

Distance covered by the first train after t hours is

25 × t = 25t

Distance covered by the second train after t hours is

40 × t = 40t

Therefore,

25t + 40t = 195

65t = 195

t = 195/65

t = 3 hours

Answer 2

The time taken by both trains should be 3 hours.

Calculation of the time taken:

Since Two trains travel toward each other from points which are 195 miles apart. They travel at rate of 25 and 40 miles an hour respectively.

here we assume the time be t

So,

We know that

$Distance = speed \times time$

Now Distance covered by the first train after t hours is

$25 \times t = 25t$

And,

Distance covered by the second train after t hours is

$40 \times t = 40t$

So,

25t + 40t = 195

65t = 195

t = 3 hours

Hence, The time taken by both trains should be 3 hours.

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