Train delay

Due to a breakdown, the train lost 16 minutes standing on the track behind Brno. He "eliminated" this delay so that after the start, the 80 km long section went at a speed 10 km/h higher than originally planned. What speed was it, and what was it supposed to be?

Correct answer:

v1 =  50 km/h
v2 =  60 km/h

Step-by-step explanation:

s=80 km v0=10 km/h t0=16 min h=16:60  h=0.26667 h  s = v1 t s = v2 (tt0) v2 = v1+v0  s = v1 t s = v2 tv2 t0 v2 = v1+v0  s = (v2v0) t s = v2 tv2 t0  s = v2 tv0 t s = v2 tv2 t0  80 = v1 t 80 = v2 (t16/60) v2 = v1+10  80 = v1 t ; 80 = (v1+v0) (t16/60) 80 = v1 t + v0 t 16/60 v1 16/60 v0  t=1.6 h  v1=s/t=80/1.6=50 km/h
v2=v1+v0=50+10=60 km/h

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 length units?
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: