Hoverboard

Adam lives in Podhradí, and his friend Marcel lives in Lhota. Lhota is 6 km from Podhradí. Adam travels the same distance on a hoverboard in 20 minutes as Marcel does in 25 minutes. They leave home simultaneously, drive towards each other, and meet in precisely 15 minutes. Calculate how fast Adam is going and how fast Marcel is driving.


Correct answer:

v1 =  13.3333 km/h
v2 =  10.6667 km/h

Step-by-step explanation:

s=6 km t=15 min h=15:60  h=0.25 h  v=s/t=6/0.25=24 km/h  v = v1+v2  t1=20 min h=20:60  h=0.33333 h t2=25 min h=25:60  h=0.41667 h  x = v1 t1=v2 t2  v = v1+v2 v = v1+v1 t1/t2  t2 v=t2 v1+v1 t1 0.41666666666667 24=0.41666666666667 v1+v1 0.33333333333333  0.75v1=10  v1=0.7510=13.33333333  v1=34013.333333=13.3333 km/h
v2=vv1=2413.3333=10.6667 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 looking for its solution? Or do you have a quadratic equation?
Do you want to convert velocity (speed) units?

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

Units of physical quantities:

Themes, topics:

Grade of the word problem:


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

Related math problems and questions: