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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A boat traveled upstream 90 miles at an average speed of (v-3) miles
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22 Nov 2021, 06:47
22 Nov 2021, 06:47
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A boat traveled upstream 90 miles at an average speed of (v-3) miles per hour and then traveled the same distance downstream at an average speed of (v+3) miles per hour. If the trip upstream took a half hour longer than the trip downstream, then how many hours did it take the boat to travel downstream?
A. 2.5
B. 2.4
C. 2.3
D. 2.2
E. 2.1
A. 2.5
B. 2.4
C. 2.3
D. 2.2
E. 2.1
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A boat traveled upstream 90 miles at an average speed of (v-3) miles
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22 Nov 2021, 07:24
22 Nov 2021, 07:24
1
GeminiHeat wrote:
A boat traveled upstream 90 miles at an average speed of (v-3) miles per hour and then traveled the same distance downstream at an average speed of (v+3) miles per hour. If the trip upstream took a half hour longer than the trip downstream, then how many hours did it take the boat to travel downstream?
A. 2.5
B. 2.4
C. 2.3
D. 2.2
E. 2.1
A. 2.5
B. 2.4
C. 2.3
D. 2.2
E. 2.1
I like to begin with a "word equation."
We can write:
travel time upstream = travel time downstream + 1/2
Time = distance/rate
So, we can replace elements in our word equation to get:
90/(v-3) = 90/(v+3) + 1/2
Now solve for v (lots of work here)
.
.
.
v = 33
So, travel time downstream = 90/(v+3)
= 90/(33+3)
= 90/36
= 5/2
= 2 1/2 hours
Answer: A
Cheers,
Brent
gmatclubot
Re: A boat traveled upstream 90 miles at an average speed of (v-3) miles [#permalink]
22 Nov 2021, 07:24
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