SOLUTION: The Cummings are moving across the country. Mr. Cumming leaves 4 hours before Mrs. Cumming. If he averages 45 mph and she averages 90 mph, how long will it take Mrs. Cumming to o

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Question 1050217: The Cummings are moving across the country. Mr. Cumming leaves 4 hours before Mrs. Cumming. If he averages 45 mph and she averages 90 mph, how long will it take Mrs. Cumming to overtake Mr. Cumming?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The two travelers catchup problem 
h=4 hour
r=45 mph
R=90 mph
t, unknown travel time for catchup for traveler at R
d, unknown distance upon catchup

BASIC Constant Travel Rate Formula: D%2FT=R 

                  SPEED        TIME       DISTANCE
Mr. Cumming        r           t+h        d
Mrs. Cumming       R           t          d

Write the equations for the system, and solve for t and d.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The Cummings are moving across the country. Mr. Cumming leaves 4 hours before Mrs. Cumming. If he averages 45 mph and she averages 90 mph, how long will it take Mrs. Cumming to overtake Mr. Cumming?
With T being time it takes MRS Cummnings to get to meet-up point, the following distance equation is formed: 90T+=+45%28T+%2B+4%29 

90T = 45T + 180

90T - 45T = 180

45T = 180

T, or time it takes Mrs Cummings to get to meet-up point = 180%2F45, or highlight_green%28matrix%281%2C2%2C+4%2C+hours%29%29

It is that simple...nothing COMPLEX!!



FYI

You're asked for time. It is TOTALLY UNNECESSARY and makes absolutely no sense whatsoever to solve for

distance, or to find distance. Therefore, solve for time! If you disagree then feel free to solve for it.