SOLUTION: Okay, margret drove to a business appointment at 50 mph. Her average speed on the return trip was 40 mph. The return trip took 1/4 hour longer because of traffic. How far did she t

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Question 774459: Okay, margret drove to a business appointment at 50 mph. Her average speed on the return trip was 40 mph. The return trip took 1/4 hour longer because of traffic. How far did she travel to the appointment?
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = time in hours for trip GOING to business meeting
Let d = one-way distance

Direction_____speed_____time_______distance
GOING_________50________h__________d
RETURN________40_______h+1/4_______d

rate*time=distance basic fact.

50h=d and 40%28h%2B1%2F4%29=d
Substitution principle gives 50h=40%28h%2B1%2F4%29 and just solve for h. Using found value of h, compute d.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, margret drove to a business appointment at 50 mph. Her average speed on the return trip was 40 mph. The return trip took 1/4 hour longer because of traffic. How far did she travel to the appointment?
***
let x=distance to place of appointment
travel time=distance/speed
x%2F40-x%2F50=1%2F4
LCD:2000
50x-40x=2000/4
10x=500
x=50 mi
How far did she travel to the appointment? 50 mi