Question 263619: I need help with this one question that I've always had problems with these rate of time problem.
Okay, so a plane is going to Chicago at 400 Kilometers/hour, and when they come back they're going 500 kilometers/hour...if the trip took 9 hours, how many kilometers did the plane fly all together? Thanks in advance and I hope you can answer as soon as possible!
Found 2 solutions by drk, JBarnum:
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! This is an RTD problem. Here is a table based on the given information
planes . . . . . . . .rate . . . . . . . time . . . . . . . .distance
to chi. . . . . . . . .400. . . . . . . . .T . . . . . . . . . 400T
from chi . . . . . . 500 . . . . . . . . 9 - T. . . . . . . 4500 - 500T
totals. . . . . . . . . . . . . . . . . . . 9 . . . . . . . . . .
The distances must be equal, so we get
400T = 4500 - 500T
add 500T to get
900T = 4500
divide to get
T = 5
we now multiply 400*5 = 2000
it was a 2000 km trip
((((no offense to ur method of solving this but u forgot to add to get the total distance, 2000km is only half the distance for the round trip, total distance is 4000km for the whole trip. J.Barnum))))
Answer by JBarnum(2146)  (Show Source):
You can put this solution on YOUR website! Okay, so a plane is going to Chicago at 400 Kilometers/hour, and when they come back they're going 500 kilometers/hour...if the trip took 9 hours, how many kilometers did the plane fly all together?
I DID GUESS AND CHECK distance from AB = BA
so AB=X
Use the equation from the guy below me
400km x5hrs =2000km
500km x4hrs =2000km
5hrs+4hrs=9hrs
2000km+2000km=4000km
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