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Two dogsled teams raced across a 300 mile course in Wyoming.

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Source: GMAT Prep

Two dogsled teams raced across a 300-mile course in Wyoming. Team A finished the course in 3 fewer hours than team B. If team A's average speed was 5 mph greater than team B's, what was team B's average mph?

A. 12
B. 15
C. 18
D. 20
E. 25

The OA is D
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Source: — Problem Solving |

by Manasa3190 » Sat Dec 29, 2018 8:01 pm
Given,
Total distance = 300 miles
Let team B speed be X
then, Team A speed = X+5
Time B - Time A = 3 hours
(300/x) - (300/(x+5)) = 3
x^2 +5*x - 500 =0
x = 20, -25
Speed can only be positive, so Speed of B is 20
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by GMATGuruNY » Sun Dec 30, 2018 9:54 am
BTGmoderatorLU wrote:Source: GMAT Prep

Two dogsled teams raced across a 300-mile course in Wyoming. Team A finished the course in 3 fewer hours than team B. If team A's average speed was 5 mph greater than team B's, what was team B's average mph?

A. 12
B. 15
C. 18
D. 20
E. 25
We can PLUG IN THE ANSWERS, which represent B's speed.
When the correct answer is plugged in, B's time - A's time = 3 hours.
For each team:
Time = distance/speed = 300/speed.

B: B's speed = 15 mph, implying that A's speed = 15+5 = 20 mph
In this case, B's time - A's time = 300/15 - 300/20 = 20 - 15 = 5 hours.
Eliminate B.

D: B's speed = 20 mph, implying that A's speed = 20+5 = 25 mph
In this case, B's time - A's time = 300/20 - 300/25 = 15 - 12 = 3 hours.
Success!

The correct answer is D.
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by Scott@TargetTestPrep » Thu Feb 07, 2019 6:28 pm
BTGmoderatorLU wrote:Source: GMAT Prep

Two dogsled teams raced across a 300-mile course in Wyoming. Team A finished the course in 3 fewer hours than team B. If team A's average speed was 5 mph greater than team B's, what was team B's average mph?

A. 12
B. 15
C. 18
D. 20
E. 25

The OA is D
Let's let the rate of team B be r. The time of Team A is 300/(r + 5) and the time of team B is 300/r; thus:

300/(r + 5) + 3 = 300/r

Multiplying by r(r+5), we have:

300r + 3r^2 + 15r = 300r + 1500

3r^2 + 15r - 1500 = 0

r^2 + 5r - 500 = 0

(r + 25)(r - 20) = 0

r = -25 or r = 20

Since r can't be negative, team B's average speed is 20 mph.

Answer: D

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