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# Average speed

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Senior Manager
Joined: 10 Mar 2008
Posts: 356

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14 Feb 2009, 14:00
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

2 dogsleds raced across a 300 mile course. Team A finished the course in 3 fewer hours than did Team B. If Team A's average speed was 5 miles per hour greater than that of Team B, what was Team B's average speed in miles per hour?

(a) 12
(b) 15
(c) 18
(d) 20
(e) 25

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SVP
Joined: 29 Aug 2007
Posts: 2470

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14 Feb 2009, 14:59
1
KUDOS
vksunder wrote:
2 dogsleds raced across a 300 mile course. Team A finished the course in 3 fewer hours than did Team B. If Team A's average speed was 5 miles per hour greater than that of Team B, what was Team B's average speed in miles per hour?

(a) 12
(b) 15
(c) 18
(d) 20
(e) 25

Time for A = x
Time for B = x+3

Speed for A = y + 5
Speed for B = y

x(y+5) = (x+3)y
x = 3y/5
x(y+5) = 300
(3y/5) (y+5) = 300
y^2 + 5y - 500 = 0
y = 20
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Current Student
Joined: 28 Dec 2004
Posts: 3345

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Location: New York City
Schools: Wharton'11 HBS'12

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15 Feb 2009, 19:20
i get 20 as well

same work as GT except, when i got to the quadratic, i just plugged in ans choice..20 seemed the right number since i had 20*25=500

Kudos [?]: 325 [0], given: 2

Re: Average speed   [#permalink] 15 Feb 2009, 19:20
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# Average speed

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