SOLUTION: Two automobiles start at the same time and travel in opposite directions. The first averages 28 miles per hour and the second averages 35 miles per hour. In how many hours are th

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Question 517805: Two automobiles start at the same time and travel in opposite directions. The first averages 28 miles per hour and the second averages 35 miles per hour. In how many hours are they 189 miles apart?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Automobile A Data
==========
Speed = 28mph
Time=t hour
Distance Covered by Automobile A=28*t
=============
Automobile B Data
============
Speed = 35mph
Time=t hour
Distance covered by Automobile B=35*t
Distance Covered by Automobile A + Distance Covered by Automobile B = Total Distnace apart
28t+35t=189
63t=189
63t/63=189/63
t=3 hour
They will be 189 miles apart in 3 hours.
Check
=====
Automobile A Data
==========
Speed = 28mph
Time=3 hour
Distance Covered by Automobile A=28*3= 84 miles
=============
Automobile B Data
============
Speed = 35mph
Time=3 hour
Distance covered by Automobile B=35*3 = 105
Distance Covered by Automobile A + Distance Covered by Automobile B = Total Distance between two Automobiles
84+105=189
189=189