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IBPS RRB Officer Prelims 10 Sep 2017 Paper
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© examsnet.com
Question : 57
Total: 80
A boat travels 65 km downstream in 6 hrs 30 minutes, when it is travelling in a stream (S1). lf this boat travels in another stream (S2 whose speed is 10% more than that of S1 it covers 58 km upstream in 10 hrs. What is the speed of S2? (in km/hr). (Assume the boat's speed in still water in both streams remains the same)
2.2
1.5
1.8
2.4
2
Validate
Solution:
(1) Speed of current (
S
1
) = y kmph
Speed of boat in still water = x kmph.
∴Rate downstream
=
x
+
y
=
[
65
13
2
]
kmph
=
[
65
×
2
13
]
kmph
= 10 kmph
Speed of current (
S
2
)
=
11
y
10
kmph
∴ Rate upsteam
=
x
–
11
y
10
=
5.8
kmph
∴
x
+
y
–
x
+
11
y
10
= (10 – 5.8) kmph
⇒
10
y
+
11
y
10
=
4.2
⇒
21
y
10
=
4.2
⇒
y
=
4
.2
×
10
21
= 2 kmph
⇒ Speed of current (
S
2
)
=
[
11
×
2
10
]
kmph
= 2.2 kmph
© examsnet.com
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