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A boot travel with a speed
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14 Apr 2021, 05:40
14 Apr 2021, 05:40
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Question Stats:
61% (02:53) correct
38% (03:08) wrong based on 70 sessions
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A boot travel with a speed of 13 miles/hour in still water. If the ratio of the speed of the boat upstream to the speed of the boat downstream is 4:9, how much longer does it take the boat to travel 60 miles upstream than it takes to travel 60 miles downstream ??
A. 3 hours and 20 minutes
B. 5 hours
C. 4 hours and 30 minutes
D. 7 hours
E. 4 hours and 10 minutes
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 3 hours and 20 minutes
B. 5 hours
C. 4 hours and 30 minutes
D. 7 hours
E. 4 hours and 10 minutes
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: A boot travel with a speed
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14 Apr 2021, 07:29
14 Apr 2021, 07:29
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Speed of boat in still water = 13mph
Ratio of upstream & downstream = 4:9
Important :
Upstream speed = speed of boat - speed of stream
Downstream speed = speed of boat + speed of stream
Let's take speed of stream = \(x\)
Upstream speed = \(13 - x\)
Downstream speed = \(13 + x\)
Ratio = \(\frac{13-x}{13+x}\) = \(\frac{4}{9}\)
By solving, \(x = 5\)
Upstream speed = 8 mph & downstream speed = 18 mph
Time for 60 miles upstream = \(\frac{60}{8}\) = 7 Hours 30 mins
Time for 60 miles downstream = \(\frac{60}{18}\) = 3 Hours 20 mins
Diff = 4 Hours 10 minutes
Answer E
Ratio of upstream & downstream = 4:9
Important :
Upstream speed = speed of boat - speed of stream
Downstream speed = speed of boat + speed of stream
Let's take speed of stream = \(x\)
Upstream speed = \(13 - x\)
Downstream speed = \(13 + x\)
Ratio = \(\frac{13-x}{13+x}\) = \(\frac{4}{9}\)
By solving, \(x = 5\)
Upstream speed = 8 mph & downstream speed = 18 mph
Time for 60 miles upstream = \(\frac{60}{8}\) = 7 Hours 30 mins
Time for 60 miles downstream = \(\frac{60}{18}\) = 3 Hours 20 mins
Diff = 4 Hours 10 minutes
Answer E
General Discussion
Re: A boot travel with a speed
[#permalink]
28 Nov 2024, 18:53
28 Nov 2024, 18:53
rx10 wrote:
Speed of boat in still water = 13mph
Ratio of upstream & downstream = 4:9
Important :
Upstream speed = speed of boat - speed of stream
Downstream speed = speed of boat + speed of stream
Let's take speed of stream = \(x\)
Upstream speed = \(13 - x\)
Downstream speed = \(13 + x\)
Ratio = \(\frac{13-x}{13+x}\) = \(\frac{4}{9}\)
By solving, \(x = 5\)
Upstream speed = 8 mph & downstream speed = 18 mph
Time for 60 miles upstream = \(\frac{60}{8}\) = 7 Hours 30 mins
Time for 60 miles downstream = \(\frac{60}{18}\) = 3 Hours 20 mins
Diff = 4 Hours 10 minutes
Answer E
Ratio of upstream & downstream = 4:9
Important :
Upstream speed = speed of boat - speed of stream
Downstream speed = speed of boat + speed of stream
Let's take speed of stream = \(x\)
Upstream speed = \(13 - x\)
Downstream speed = \(13 + x\)
Ratio = \(\frac{13-x}{13+x}\) = \(\frac{4}{9}\)
By solving, \(x = 5\)
Upstream speed = 8 mph & downstream speed = 18 mph
Time for 60 miles upstream = \(\frac{60}{8}\) = 7 Hours 30 mins
Time for 60 miles downstream = \(\frac{60}{18}\) = 3 Hours 20 mins
Diff = 4 Hours 10 minutes
Answer E
So here the upstream speed acts as resistance?
