A train leaves a station and travels north at a speed of 175 km/h. Two hours later, a second train leaves on a parallel track and travels north at 225 km/h. How far from the station will theymeet?The trains will meet (?) away from the station(Type an integer or a decimal.)

Respuesta :

Given,

The speed of first train is 175km/h.

The speed of second train is 225 km/h.

Consider, the time taken by first train to meet is x h.

The time taken by the second train to meet is (x-2) h.

The distance is calculated as,

[tex]\text{Distance}=\text{speed}\times time[/tex]

At the meeting point the distance covered by both train is same,

So, taking the distance equation of both trains in equal,

[tex]\begin{gathered} 175\times x=225\times(x-2) \\ 175x=225x-450 \\ -50x=-450 \\ x=9 \end{gathered}[/tex]

The first train meet to second train after distance,

[tex]d=175\times9=1575\text{km}[/tex]

The second train meet to first train after distance,

[tex]d=225\times(9-2)=1575\text{ km}[/tex]

Hence, both train meet after 1575 km from the station.