SOLUTION: Mr and Mrs Morales agree to meet at 3:00pm at Los Alamos, a town between their present locations. They both leave their present location at 10:45am. Mr Morales drives at an avera

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Question 65510This question is from textbook Essential Algebra
:
Mr and Mrs Morales agree to meet at 3:00pm at Los Alamos, a town between their present locations. They both leave their present location at 10:45am. Mr Morales drives at an average speed of 50 kph to arrive on time.
a) If Mrs Morales must drive 34 kilometers further than Mr Morales, what must her average speed be to arrive on time?
b) How far will Mr and Mrs Morales have driven when they meet in Los Alamos?
This question is from textbook Essential Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE TIME REQUIRED BY MR MORALES TO DRIVE IS 4.25 HOURS (10:45 AM TO 3:00 PM)
50*4.25=212.5 KILOMETERS DRIVEN BY MR MORALES.
MRS MORALES MUST DRIVE 212.5+43=255.5 KILOMETERS. SO SHE MUST DRIVE 255.5 KILOMETERS IN 4.25 HOURS. THUS:
255.5/4.25=X
X=60.118 KILOMETERS PER HOUR SHE MUST DRIVE TO ARRIVE ON TIME.
TOTAL DISTANCE DRIVEN BY MR & MRS MORALES. 212.5+255.5=468 KILOMETERS.
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