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23 Sep 2017, 04:55
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (02:10) correct
31%
(01:58)
wrong
based on 619
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In a given river, the current is 6 mph. A certain riverboat can travel 18 mph in still water. How far upstream (against the current) can the boat travel if a round trip is to take 10 hours?
A) 24
B) 48
C) 60
D) 80
E) 96
A) 24
B) 48
C) 60
D) 80
E) 96
23 Sep 2017, 05:05
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HKD1710
The upstream speed = the boat speed - the current speed = 18 - 6 = 12 mph;
The downstream speed = the boat speed + the current speed = 18 + 6 = 24 mph.
Since the downstream speed of the boat is twice that of the upstream speed, then travelling downstream would take the boat half the time it would take it to travel upstream: t/2 + t = 10 hours, which gives t = 20/3 hours.
In 20/3 hours, the boat will travel upstream (time)(rate) = 20/3*12 = 80 miles.
Answer: D.
Updated on: 29 Apr 2021, 13:48
Originally posted by BrentGMATPrepNow on 23 Sep 2017, 08:46.
Last edited by BrentGMATPrepNow on 29 Apr 2021, 13:48, edited 2 times in total.
Last edited by BrentGMATPrepNow on 29 Apr 2021, 13:48, edited 2 times in total.
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HKD1710
Here's one approach...
Let d = distance traveled upstream
So, d = distance traveled downstream
The upstream speed = the boat speed - the current speed = 18 - 6 = 12 mph
The downstream speed = the boat speed + the current speed = 18 + 6 = 24 mph.
Let's start with a "word equation"
(time spent traveling upstream) + (time spent traveling downstream) = 10 hours
time = distance/speed
We get: d/12 + d/24 = 10
Multiply both sides by 24 to get: 2d + d = 240
Simplify: 3d = 240
Solve: d = 80
Answer: D
RELATED VIDEO
, so i will respond on his behalf 
OKAY so i did some online research AND YES ! this a a relative speed concept you must KNOW AND MORE IMPORTANTLY - REMEMBER IT ! 
