SOLUTION: one day Manisha covered a distance of 24 KM at x km/hr and another 40Km at Y km/hr.Next day,she covered 18km at X Km/hr and another 48Km at y km/hr if each day she took 9 hrs to co
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Question 1065246: one day Manisha covered a distance of 24 KM at x km/hr and another 40Km at Y km/hr.Next day,she covered 18km at X Km/hr and another 48Km at y km/hr if each day she took 9 hrs to complete the journey. Find the values of X & Y.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I think I will end up with 4 equations and 4 unknowns,
which means it is solvable
-------------------------
For the 1st day:
Let the time for the 24 km trip be hrs
The time for the 40 km trip is hrs
For the 2nd day:
Let the time for the 18 km trip be hrs
The time for the 48 km trip is hrs
--------------------------------------------
That gives me the 4 unknowns:
, , , and
--------------------------------------
(1 )
(2)
(3)
(4)
-------------------------------
(2)
Substitute this into (4)
(4)
(4)
(4)
(4)
(4)
and
(1)
Substitute into (3)
(3)
(3)
(3)
(3)
---------------------------
Substitute (3) into (4)
(4)
(4)
(4)
(4)
(4) hrs
and
(3)
(3)
(3) hrs
--------------------------
(1 )
(1 )
(1 ) km/hr
and
(2)
(2)
(2)
(2) km/hr
--------------------------
check answers:
(3)
(3)
(3)
and
(4)
(4)
(4)
(4)
OK
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