SOLUTION: One day Mohan Covered a distance of 24 Km at X km/ hr and another 40 km at Y km/hr. Next day she covered 18 km at X km/hr and another 48 km at Y km/hr. If each day she took 9 hrs.

Algebra ->  Finance -> SOLUTION: One day Mohan Covered a distance of 24 Km at X km/ hr and another 40 km at Y km/hr. Next day she covered 18 km at X km/hr and another 48 km at Y km/hr. If each day she took 9 hrs.      Log On


   

Question 992723: One day Mohan Covered a distance of 24 Km at X km/ hr and another 40 km at Y km/hr. Next day she covered 18 km at X km/hr and another 48 km at Y km/hr. If each day she took 9 hrs. to complete her journey , find the value of X & Y
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
ONE DAY
rate      time      distance
x         24/x        24
y         40/y        40
Total      9

NEXT DAY
rate       time      distance
x          18/x       18
y          48/y       48
Total       9



The time expressions are filled according to RT=D;
RT%2FR=D%2FR
T=D%2FR.

The two time sum relationships for the two days give the system
system%2818%2Fx%2B48%2Fy=9%2C24%2Fx%2B40%2Fy=9%29

You can solve that system, ... unless you need help with the algebra or arithmetic steps.


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Many long steps on paper; but found x=6 and y=8.