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The current in a river is 4 mph. A boat can travel 20 mph in still wat
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25 Apr 2021, 13:24
25 Apr 2021, 13:24
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The current in a river is 4 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
A. 69 miles
B. 88 miles
C. 96 miles
D. 100 miles
E. 112 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 69 miles
B. 88 miles
C. 96 miles
D. 100 miles
E. 112 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
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Re: The current in a river is 4 mph. A boat can travel 20 mph in still wat
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25 Apr 2021, 13:36
25 Apr 2021, 13:36
1
Carcass wrote:
The current in a river is 4 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
A. 69 miles
B. 88 miles
C. 96 miles
D. 100 miles
E. 112 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 69 miles
B. 88 miles
C. 96 miles
D. 100 miles
E. 112 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Boat's speed UPSTREAM = 20mph - 4mph = 16mph
Boat's speed DOWNSTREAM = 20mph + 4mph = 24mph
Let's start with a word equation....
(travel time UPSTREAM) + (travel time DOWNSTREAM) = 10 hours
time = distance/speed
We know the speeds, but not the distance each way
So, let d = distance EACH EACH
Our word equation becomes....
d/16 + d/24 = 10
Eliminate the fractions by multiplying each side by 28 (the least common multiple of 16 and 24)
When we do this, we get: 3d + 2d = 480
Simplify: 5d = 480
Solve: d = 96
So, the distance EACH WAY is 96 miles
Answer: C
Cheers,
Brent
gmatclubot
Re: The current in a river is 4 mph. A boat can travel 20 mph in still wat [#permalink]
25 Apr 2021, 13:36
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