SOLUTION: A bus leaves LA traveling at 50 mi/hr. An hour later a car traveling on the same road leaves at 70 mi/hr to try to overtake the bus. how far from LA does the car overtake the bus?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A bus leaves LA traveling at 50 mi/hr. An hour later a car traveling on the same road leaves at 70 mi/hr to try to overtake the bus. how far from LA does the car overtake the bus?      Log On

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Question 834632: A bus leaves LA traveling at 50 mi/hr. An hour later a car traveling on the same road leaves at 70 mi/hr to try to overtake the bus. how far from LA does the car overtake the bus?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Notice the slow vehicle leaves first and travels for more time. In this example, the time difference is 1 hour. The slow vehicle travels for t+1 hours of time. The faster but later-starting vehicle travels for some t hours of time. t is an unknown variable. When that information is straight, then continue....

READY?

t = time for the car to meet the same distance as the traveling bus
d = the distance from LA that car and distance match

In case a table would help,

____________________speed_____________time______________distance
Bus_________________50________________t+1_______________d
Car_________________70________________t_________________d

Basic equation for uniform rates for travel, highlight_green%28Rate%2ATime=Distance%29

... Further process is not continued here (yet), but you try to solve the example exercise yourself, from what has been presented so far. Can you continue and finish?