Question

ONE DAY,MANISHA COVERED A DISTANCE OF 24KM 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 9HRS TO COMPLETE HER JOURNEY FIND THE VALUES OF $x$ AND y

Answer 1

24/x + 40/y = 9         ----------1
18/x + 48/y = 9         ----------2
from 1&2
⇒24/x + 40/y = 18/x + 48/y
⇒24/x - 18/x = 48/y- 40/y
⇒6/x = 8/y
⇒ x = 3y/4

puting the value of x in 1
⇒24×4/3y + 40/y = 9
⇒32/y + 40/y = 9
⇒72/y = 9
⇒y = 8

we know
x = 3y/4
⇒x= 3×8/4
⇒x=6