Bill drove from Metropolis to Smallville at an average speed : PS Archive
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# Bill drove from Metropolis to Smallville at an average speed

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Bill drove from Metropolis to Smallville at an average speed [#permalink]

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09 Nov 2005, 09:41
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Bill drove from Metropolis to Smallville at an average speed of 75 miles per hour. If he returned immediately to Metropolis, driving along the same route at an average speed of 50 miles per hour, what was the average speed, in miles per hour, for the entire round trip?

A) 57.5

B) 60

C) 62.5

D) 67.5

E) 70
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09 Nov 2005, 09:46
sudhagar wrote:
Bill drove from Metropolis to Smallville at an average speed of 75 miles per hour. If he returned immediately to Metropolis, driving along the same route at an average speed of 50 miles per hour, what was the average speed, in miles per hour, for the entire round trip?

A) 57.5

B) 60

C) 62.5

D) 67.5

E) 70

M-->S
rate - 75m/hr
dist - 150 (assumed)
time - 2 hrs

S-->M
rate - 50 m/hr
dist - 150 (sames as above)
time - 3 hrs

total trip avg speed = (150+150)/(2+3) = 60 m/hr (B)
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09 Nov 2005, 13:08
Another 60 mph.

Lets say distance is 150 miles. It takes 2 hours at 75mph, and 3 hours at 50 mph.

Just add the totals up to get 300/5hours and we get 60 mph.
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09 Nov 2005, 20:00
Thats correct OA is B ... 60mph.
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09 Nov 2005, 20:39
For people who are have problems solving with variables.

Let the distance, x equal 150 miles. Therefore,

t1 = 150/75 = 2 hours
t2 = 150/50 = 3 hours

Average speed = total distance/total time = 300/(2+5) = 60 miles/hour

Pick B.
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