Question

5. Amrita came first in x races and second in y races. A score of 5 points is given for coming first and
3 points for the second place in a race. She scored 34 points but if the number of games in which
she came first and second were interchanged she would have scored 4 points less. Find x and y.​

Answer 1

speed of A : speed of B =

7

3

:

1

=

7

:

3

73:1=7:3

It means, in a race of

7

7 metres, A gains

(

7

−

3

)

=

4

(7−3)=4 metres.

If A needs to gain

80

80 metres, race should be of

7

4

×

80

74×80

=

140

=140 metres

Answer 2

Answer:

speed of A : speed of B =7

3:1=7:3

73:1=7:3

It means, in a race of 7

7 metres, A gains

(7−3)=4

(7−3)=4 metres.

If A needs to gain 80

80 metres, race should be of

74×80 = 140

=140 metres