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Two trains travel toward each other from points which are 195 mile 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?​


Sagot :

Answer:

Given that the 2 trains start at the same time.

Let the 2 trains meet at 'x' miles distance from left hand side.

(i)

The time taken by the first train to reach the distance 'x' will be,

t=x25t=x25

(ii)

The time taken by the second train to reach the distance '195-x' will be,

t=195−x40t=195−x40

As both the times are equal therefore,

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Answer:

Answer and Explanation:

Given that the 2 trains start at the same time.

Let the 2 trains meet at 'x' miles distance from left hand side.

(i)

The time taken by the first train to reach the distance 'x' will be,

t

=

x

25

(ii)

The time taken by the second train to reach the distance '195-x' will be,

t

=

195

x

40

As both the times are equal therefore,

x

25

=

195

x

40

40

x

=

25

(

195

x

)

40

x

+

25

x

=

25

(

195

)

65

x

=

25

(

195

)

x

=

25

(

195

)

65

x

=

75

miles

Therefore the 2 trains will meet at time,

t

=

75

25

=

3

hours.