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# Average speed

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Senior Manager
Joined: 10 Mar 2008
Posts: 342

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14 Feb 2009, 15:00
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: 2452

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14 Feb 2009, 15:59
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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Joined: 28 Dec 2004
Posts: 3311
Location: New York City
Schools: Wharton'11 HBS'12

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15 Feb 2009, 20:20
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

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

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