Two trains problem

Algebra Level 3

Two trains started moving one from point A A and the other from point B B against each other at the same time for a trip length of 240 240 km. The first train speed is 80 80 km/h and the second one is 100 100 km/h. What is the distance between the two trains 30 30 minutes before they meet?


The answer is 90.

Ossama Ismail by Ossama Ismail , 63, Egypt

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1 solution

Chris Lewis
Jan 7, 2020

The trains are coming toward each other at a speed of 180 180 km/h. Half an hour before they meet, they will be 180 2 = 90 \frac{180}{2}=\boxed{90} km apart.

The initial separation of 240 240 km is immaterial, except that it's far enough that the trains start more than 30 30 minutes apart.

6 Helpful 2 Interesting 3 Brilliant 0 Confused

Exactly.
In the last 30 minutes, the faster train will travel 50 km and the slower train will travel 40 km.

Richard Desper - 1 year, 5 months ago

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