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Difficulty:
45%
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Question Stats:
71% (01:47) correct
29%
(01:43)
wrong
based on 14
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The speed of a boat in still water is 6 kmph. What is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time?
A 3 Kmph
B 2 Kmph
C 4 Kmph
D 6 Kmph
E 8 Kmph
A 3 Kmph
B 2 Kmph
C 4 Kmph
D 6 Kmph
E 8 Kmph
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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22 Jan 2015, 00:30
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Hi abdulfmk,
This question should probably be in the Quant/PS Forum, but I'll be happy to answer it here.
We're given that the speed of the boat in still water is 6km/hour. The next sentence implies that the speed of the water will impact the speed of the boat (and factor into how far the boat can travel per hour). The implication is that the boat can go downstream 32km in the same amount of time that it can go upstream 16km. We're asked how fast the stream is 'moving' in this situation.
Since the downstream distance is EXACTLY TWICE the upstream distance, we need the speed of the stream to create a situation in which the speed of the boat is DOUBLED when going downstream relative to when it goes upstream. This can be solved Algebraically or by TESTing THE ANSWERS.
If you want to do Algebra, the equation would look like this:
X = the speed of the stream
(6 + X) / (6 - X) = 2/1
6 + X = 12 - 2X
3X = 6
X = 2 km/hour
If the speed of the stream is 2km/hour, then the 'downstream' speed of the boat is 6+2 = 8km/hour and the 'upstream' speed of the boat is 6-2 = 4km/hour. In that way, if the boat traveled for 4 hours, it would travel 4x8 = 32km downstream and 4x4 = 16km/hour upstream.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question should probably be in the Quant/PS Forum, but I'll be happy to answer it here.
We're given that the speed of the boat in still water is 6km/hour. The next sentence implies that the speed of the water will impact the speed of the boat (and factor into how far the boat can travel per hour). The implication is that the boat can go downstream 32km in the same amount of time that it can go upstream 16km. We're asked how fast the stream is 'moving' in this situation.
Since the downstream distance is EXACTLY TWICE the upstream distance, we need the speed of the stream to create a situation in which the speed of the boat is DOUBLED when going downstream relative to when it goes upstream. This can be solved Algebraically or by TESTing THE ANSWERS.
If you want to do Algebra, the equation would look like this:
X = the speed of the stream
(6 + X) / (6 - X) = 2/1
6 + X = 12 - 2X
3X = 6
X = 2 km/hour
If the speed of the stream is 2km/hour, then the 'downstream' speed of the boat is 6+2 = 8km/hour and the 'upstream' speed of the boat is 6-2 = 4km/hour. In that way, if the boat traveled for 4 hours, it would travel 4x8 = 32km downstream and 4x4 = 16km/hour upstream.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
22 Jan 2015, 02:12
Kudos
Bookmarks
Hi Rich,
Yes, It shouldnt be. I didnt realize until you mentioned that. Thanks!!
Yes, It shouldnt be. I didnt realize until you mentioned that. Thanks!!
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
