Let the speed of the car be [tex]x[/tex] km/h
Car travel to overtake a bus in 5 hours = [tex]5*x[/tex] km
The bus for 5 hours travel the distance:
[tex]\longrightarrow 5*30=150 [/tex] km
Where the bus left 3 hours before the car its total distance from the car is :
[tex]\longrightarrow 150+3*30=240 [/tex] km
The car overtake the bus when [tex]5*x=240[/tex]
[tex]\Longrightarrow\sf{5*x= 240 }[/tex]
[tex]\Longrightarrow\sf{x = \frac{ \cancel{240}}{\cancel{5}} }[/tex]
[tex]\Longrightarrow\sf{x = \red{48} }[/tex]
Answer: The car must move 48 km/h.
