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CAT Exam Model Paper 2 with solutions for free online practice
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© examsnet.com
Question : 97
Total: 100
Mariya was travelling in her boat when the wind blew her hat off and the hat started floating back downstream. The boat continued to travel upstream for twelve more minutes before Mariya realized that her hat had fallen off and turned back downstream. She caught up with that as soon as it reached the starting point. Find the speed of river if Mariya’s hat flew off exactly 3 km from where she started:
5 km/h
6 km/h
7.5 km/h
can’t be determined
Validate
Solution:
(c) Let the speed of boat be B and that of river be R. In 12 minutes the distance between boat and hat
= 12(B − R) + 12R = 12B
Now time taken by boat to reach to the hat
=
12
B
(
B
+
R
)
−
R
=
12
min
Total time = 24 min
In 24 minutes had flown off = 3 km
∴
24
60
×
R
=
3
⇒ R = 7.5 km/h
© examsnet.com
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