<PRE><B>Question 467935</B>
A Bus leaves a station and travels north at 75 kph.
 Two hours later a second bus leaves same station traveling north at 100 kph.
 How far from the station and after how any hours will the second bus overtake the first bus?
:
Let t = time required by the 2nd bus to overtake the 1st bus
then
(t+2) = travel time of the 1st bus when it is overtaken
:
When the 2nd bus overtakes the 1st bus they will have traveled the same distance.
Write a distance equation; dist = speed * time
:
2nd bus dist = 2nd bus distance
100t = 75(t+2)
100t = 75t + 150
100t - 75t = 150
25t = 150
t = {{{150/25}}}
t = 6 hrs for the 2nd bus to overtake the 1st bus
:
:
Find the dist:
100 * 6 = 600 km, when this happens
;
:
Check solution by finding the dist using the 1st bus
75(6+2) = 600 km</PRE>