SOLUTION: In exercises 17 and 18, cars A and B travel the same road. A's speed is r km/h, and B's speed is s km/h (r<s). when will B overtake A in each situation? Let t=A's time. 17. A an

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: In exercises 17 and 18, cars A and B travel the same road. A's speed is r km/h, and B's speed is s km/h (r<s). when will B overtake A in each situation? Let t=A's time. 17. A an      Log On

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Question 910613: In exercises 17 and 18, cars A and B travel the same road. A's speed is r km/h, and B's speed is s km/h (r 17. A and B start at the same time, but A starts p km in front of B.
18. A and B start at the same place, but A starts q hours before B.
Please show your work in a D=RT chart
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Number 17:

___________________rate_______time________distance
A___________________r_________(___)_______d-p
B___________________s_________(___)________d

The time quantities are not clear and so are variables, unknowns. You would be given r and s are constant, d and p are expected to also be known constants, and you only know that A and B start AT THE SAME POINT in time; but you do not know the time quantities.

Use simple algebra to help.
RT=D
RT%281%2FR%29=D%281%2FR%29
T=D%2FR

Now use this to fill in the missing time quantities expressions.

___________________rate_______time________distance
A___________________r_________(d-p)/r_______d-p
B___________________s_________d/s________d