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

Manisha covered 24km at xkm/hr speed and another 40km at ykm/hr speed.
Next day, she covered 18km at xkm/hr speed and another 48km at ykm/hr speed.
Manisha covered xkm in 1hr
∴, she covered 24km in 24/x hr.
Similarly, she covered 40km in 40/y hr.
∴, 24/x+40/y=9 ----------(1)
18/x+48/y=9 -------------(2)
Multiplying (1) with 3 and (2) with 4 we get,
72/x+120/y=27 ---------(3)
72/x+192/y=36 ---------(4)
Subtracting (3) from (4) we get,
192/y-120/y=36-27
or, 72/y=9
or, y=72/9
or, y=8
Putting in (1) we get,
24/x+40/8=9
or, 24/x+5=9
or, 24/x=9-5
or, 24/x=4
or, x=24/4
or, x=6
∴, x=6, y=8