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CAT 2019 Shift 1 Paper
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© examsnet.com
Question : 70
Total: 100
In a race of three horses, the first beat the second by 11 metres and the third by 90metres. If the second beat the third by 80 metres, what was the length, in metres, of the racecourse?
Your Answer:
Validate
Solution:
Let the first, second, and third horses be
A
,
B
and
C
respectively. Also, let the length of the racecourse be
x
.
x
A
B
C
(
x
−
11
)
(
x
−
90
)
from
1
st
condition
x
(
x
−
80
)
from
2
nd
condition
Therefore,
(
x
−
11
)
(
x
)
=
(
x
−
90
)
(
x
−
80
)
⇒
x
2
−
91
x
+
880
=
x
2
+
90
x
⇒
x
=
880
© examsnet.com
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