SOLUTION: A and B start from a given point and travel on a straight road at average speeds of 30 and 50 miles per hour respectively. If B starts 3 hours after A, find (a) the time and (b) th

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Question 1121499: A and B start from a given point and travel on a straight road at average speeds of 30 and 50 miles per hour respectively. If B starts 3 hours after A, find (a) the time and (b) the distance the travel before meeting.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

CAR      SPEED    TIME       DISTANCE
A         30       d/30       d
B         50       d/50       d
Difference          3

d%2F30-d%2F50=3
-
150%28d%2F30-d%2F50%29=150%2A3
5d-3d=450
2d=450
highlight_green%28d=225%29------distance traveled before met

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A and B start from a given point and travel on a straight road at average speeds of 30 and 50 miles per hour respectively. If B starts 3 hours after A, find (a) the time and (b) the distance the travel before meeting.
With T being time B traveled before meeting A, the DISTANCE equation is: 50T = 30(T + 3)

Solve that to get a time of highlight_green%28matrix%281%2C2%2C+4.5%2C+hrs%29%29 AFTER B left.

From this, you can easily find the distance traveled.