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# Boats and Streams

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Manager
Joined: 25 Jan 2010
Posts: 109
Location: Calicut, India
Followers: 8

Kudos [?]: 168 [0], given: 40

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05 Aug 2011, 14:31
00:00

Difficulty:

25% (medium)

Question Stats:

92% (02:15) correct 8% (00:00) wrong based on 13 sessions

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A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 3 KMPH, Find the speed of the boat in still water

A) 5
B) 10
C) 15
D) 20
E) 25
[Reveal] Spoiler: OA

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Senior Manager
Joined: 28 Jun 2009
Posts: 454
Location: United States (MA)
Followers: 18

Kudos [?]: 150 [1] , given: 46

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05 Aug 2011, 14:45
1
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Simple question, messy language.

Lets say boat's speed is B and current's speed is C.

Upstream speed : B - C
Downstream speed : B + C

Distance will be the same both times. lets say D.
given : time it takes upstream = 1.5 times time it takes downstream

D/(B + C) = 1.5 * [D/(B - C)]

Solving B = 5 C

given : C is 5 KMPH
So B is 15 KMPH
Manager
Joined: 14 Oct 2009
Posts: 59
Location: India
Followers: 1

Kudos [?]: 9 [2] , given: 1

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06 Aug 2011, 01:33
2
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I would rather use the answer options provided and see how it fits in, starting at middle option, 15+3, 15-3 gives ratio of 1.5.
Senior Manager
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 270
Followers: 41

Kudos [?]: 990 [1] , given: 48

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21 Aug 2011, 10:44
1
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d = st

(b+3)t = 2/3*(b-3)t

b=15 .......... ANS
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Re: Boats and Streams   [#permalink] 21 Aug 2011, 10:44
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