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# A boat travels for three hours with a current of 3 mph and

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SVP
Joined: 16 Oct 2003
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A boat travels for three hours with a current of 3 mph and  [#permalink]

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24 Jul 2004, 21:33
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(N/A)

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77% (01:09) correct 23% (00:02) wrong based on 61 sessions

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A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in calm water? How far did the boat travel one way?
Director
Joined: 05 May 2004
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Location: San Jose, CA
Re: PS-Boat Upstream and Downstream  [#permalink]

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24 Jul 2004, 21:50
1
Bhai wrote:
A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in calm water? How far did the boat travel one way?

Let velocity of boat in calm water be V
(V+3)*3 = (V-3)*4 ... same distance
Solving V= 21
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24 Jul 2004, 22:09
1
1
The distance travelled will always be fixed.

So distance = 3mph * 3h = 9miles

Speed will be (s+3)*3 = (s-3)*4 assuming the current does not change direction and stays constant

so S = 21mph
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24 Jul 2004, 22:10
1
Sorry, once again, I forgot to log in before replying. The 'guest' was actually me.
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25 Jul 2004, 04:28
1
Let B be the velocity of the boat and U be the velocity of the stream.

(B+U) x 3 = (B-U) x 4

(3+B) x 3 = (B-3)x 4

9+3B=4B-12

B=21

The boat travelled (21-3) x 4hrs = 72 miles one way.
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Joined: 07 Jul 2004
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25 Jul 2004, 06:59
Venksune, you got the distance right... I overlooked the question when I calculated the distance travelled...
CIO
Joined: 09 Mar 2003
Posts: 459

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25 Jul 2004, 07:35
same answers and methods as everyone else:

3(r+3)=4(r-3)
r=21
D=72
Senior Manager
Joined: 26 Jan 2004
Posts: 385
Location: India

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26 Jul 2004, 05:46
Ans,
21mph speed.
72miles distance.

(Approach, same as adopted by others)
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Re: A boat travels for three hours with a current of 3 mph and  [#permalink]

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08 Apr 2013, 11:58
1
Can any body elborate more , please ? Thanks in advance
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Re: A boat travels for three hours with a current of 3 mph and  [#permalink]

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08 Apr 2013, 12:22
2
TheNona wrote:
Can any body elborate more , please ? Thanks in advance

Let the speed in still water be x
Speed of stream = 3

So
Speed while going downstream = x+3
Time while going downstream = 3
Speed while going upstream = x-3
Time while going upstream = 4

Since distance traveled through both ways is same and time ratio being $$\frac{3}{4}$$, the speed ratio must be $$\frac{4}{3}$$

$$\frac{Speed downstream}{Speed upstream}$$ = $$\frac{4}{3}$$

$$\frac{x+3}{x-3}$$ = $$\frac{4}{3}$$ ------> 3x + 9 = 4x - 12 ----------> x=21

Speed in still water = 21

Distance = Speed X Time
Distance = (x+3)3 = 24 X 3 = 72
or
Distance = (x-3)4 = 18 X 4 = 72

Regards,

Narenn
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Re: A boat travels for three hours with a current of 3 mph and  [#permalink]

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30 May 2018, 04:19
is this GMAT Type question ?
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Re: A boat travels for three hours with a current of 3 mph and  [#permalink]

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30 May 2018, 06:05
hero_with_1000_faces wrote:
is this GMAT Type question ?
Certainly , boat in still and flowing river is part of GMAT syllabus.
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Re: A boat travels for three hours with a current of 3 mph and  [#permalink]

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31 May 2018, 15:08
Bhai wrote:
A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in calm water? How far did the boat travel one way?

Let r = the boat’s speed in calm water. So we have the rate going with the current is (r + 3) and against is (r - 3). We know that the boat traveled the same distance when traveling with the current as when traveling against the current; thus:

(r + 3) x 3 = (r - 3) x 4

3r + 9 = 4r - 12

21 = r

Thus the boat’s speed in calm water is 21 mph, and the boat travels (21 + 3) x 3 = 72 miles one way.
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Re: A boat travels for three hours with a current of 3 mph and &nbs [#permalink] 31 May 2018, 15:08
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# A boat travels for three hours with a current of 3 mph and

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