SOLUTION: Cars A and B travel down the same road. A's speed is r km/h and B's speed is s km/h (A's speed is less than B's) When will B overtake A? t=A's time. Both cars are d km's apart

Algebra ->  Equations -> SOLUTION: Cars A and B travel down the same road. A's speed is r km/h and B's speed is s km/h (A's speed is less than B's) When will B overtake A? t=A's time. Both cars are d km's apart      Log On


   



Question 874694: Cars A and B travel down the same road. A's speed
is r km/h and B's speed is s km/h (A's speed is less than B's)
When will B overtake A? t=A's time.
Both cars are d km's apart.
If a and b start toward each other how much later will they meet?
Thank you.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You are asking two different questions. I will help for your first question.

Basic Rule is RT=D for rate, time, distance.

given r%3Cs. Car B at speed s must close the initial separation of d kilometers, since car B is d kilometers behind car A.

________________speed_________time_________distance
Car A____________r_____________t___________rt-d
Car B____________s_____________t___________st

Think about the description above the data table, and how the information is arranged in the data table; and when you are comfortable, you can continue looking at the arithmetic solution steps.
st-rt=d, or equivalently, st=rt%2Bd.
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When car B reaches and overtakes car A, mostly the focus on the rate of approach, relying just on the two rates, r and s.
st-rt=d
%28s-r%29t=d
highlight%28t=d%2F%28s-r%29%29.