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CAT Exam Model Paper 3 with solutions for free online practice
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© examsnet.com
Question : 83
Total: 100
Akkal and Bakkal are running on a circular track of radius 175 metres. Akkal can complete a round in 100 seconds and the speed of Bakkal is twice the speed of Akkal. They started simultaneously towards each other from two points 350 metres diametrically opposite on the circular path. If they first meet at a point they called it love point, which is between the two points P and Q from where they have started their race, after how much time from the start do they meet at love point for the third time?
2 s
216
2
3
s
221 s
None of these
Validate
Solution:
(b) Length of the track =
2
×
22
7
×
175
=
=
1100
m
Distance to be covered for the first meeting = 550 m
Speed of Akkal =
1100
100
=
11
m/s
Speed of Bakkal =
1100
50
= 22 m/s
Time taken from the start of the first meeting =
550
(
11
+
22
)
=
50
3
s
Time taken for Akkal and Bakkal to meet again at Love point = LCM of time taken by them to go around the track once.
= LCM of
1100
11
and
1100
22
= LCM of 100 and 50
= 100 s
So, the total required time =
50
3
+
100
+
100
=
650
3
=
216
2
3
s
© examsnet.com
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