CDS Model Paper 1 Mathematics

Let the speed of the train and the car be x‌km∕h and y‌km∕h, respectively.
Now,

120

x

+

480

y

=8 ...(i)
and

200

x

+

400

y

=

25

3

...(ii)
From (i), 120y+480x=8xy and ...(iii)
From (ii), 200y+400x=

25

3

xy ...(iv)
From (iii) and (iv),

120y+480x

8

=

3(200y+400x)

25

or 15y+60x=24y+48x or 12x=9y or

x

y

=

3

4