Parallel tracks

Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is .........?

Correct answer:

b =  190 m

Step-by-step explanation:

a=160 m t1=14 s t2=12 s Δ=6 km/h m/s=6:3.6  m/s=1.66667 m/s  v1=a/t2=160/12=34013.3333 m/s v2=v1Δ=13.33331.6667=33511.6667 m/s  t1 =  v1+v2a+b  b=t1 (v1+v2)a=14 (13.3333+11.6667)160=190 m



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: