Question

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.)

Answer 1

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,

`\text{Distance}=\text{speed}* time`

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

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

`\begin{gathered} 175* x=225*(x-2) \\ 175x=225x-450 \\ -50x=-450 \\ x=9 \end{gathered}`

The first train meet to second train after distance,

`d=175*9=1575\text{km}`

The second train meet to first train after distance,

`d=225*(9-2)=1575\text{ km}`

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