SOLUTION: points A and B are 70 km apart on a highway. a car starts from A and another car starts from B at the same time. If they travel in the same direction, they meet in 7 hours, but the
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Question 404731: points A and B are 70 km apart on a highway. a car starts from A and another car starts from B at the same time. If they travel in the same direction, they meet in 7 hours, but they travel in opposite direction they meet in one hour. what are their speeds
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I need equations for each car going in the same direction and
equations for each car going in the opposite direction
--------------------------------
A and B going in the same direction:
(1)
------------------
(2)
------------------
------------------
A and B going in opposite directions:
(3)
---------------
(4)
---------------
A and B going in the same direction:
Subtract (1) from (2)
(2)
(1)
------------------
A and B going in opposite directions:
Add (3) and (4)
(3)
(4)
------------------
Add the results:
and, since
-----------------
The speed of A is 30 km/hr
The speed of B is 40 km/hr
----------------
check answer:
km
and
km
-----------------
OK
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