<PRE><B>Question 334999</B>
How fast must a car travel to overtake a bus in 5 hours, if the bus is averaging 
30 kilometers per hour and left 3 hours before the car
:
Let s = required speed by the car
:
If the car overtakes the bus in 5 hrs, the bus travel time = 8 hrs
:
When the car overtakes the bus they will have traveled the same distance
Write a distance equation: dist = speed * time
:
Car dist = bus dist
5s = 8(30)
5s = 240
s = {{{240/5}}}
s = 48 km/hr to catch the bus in 5 hrs
:
:
Confirm this by finding the distance of each, (should be equal)
5(48) = 240 mi
8(30) = 240 mi</PRE>