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# How long did it take Betty to drive nonstop on a trip from

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Intern
Joined: 16 Apr 2005
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How long did it take Betty to drive nonstop on a trip from [#permalink]  20 Apr 2005, 15:02
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How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours.

2) Betty's average speed for the trip was 50 miles per hour.

Can someone explain the solution this problem?

Director
Joined: 07 Jun 2004
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I would have to go with C on this one

as we can calculate

d / v - d / 1.5 v = 2 substitute v =50 we get d = 300

so we can calculate t = 300 / 50 = 6 hrs

t = 300 / 75 = 4 hrs
Senior Manager
Joined: 19 Feb 2005
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s=d/t
s1=d/t1
so
s*t=s1*t1
now s1=3/2s
and t1=2

s*t=3/2s*2
t=3
A is sufficient
VP
Joined: 13 Jun 2004
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I also go for A

the speed is in direct realation with the time spent, moreover they talk about the average speed so normally A should be sufficient

B is uselless alone as we have no idea about the total distance...
Intern
Joined: 16 Apr 2005
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thearch wrote,
s=d/t
s1=d/t1
so
s*t=s1*t1
now s1=3/2s
and t1=2

s*t=3/2s*2
t=3
A is sufficient

I see how you get till s*t=3/2s*2
But, how do you go from there to getting t=3?
Intern
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Correct answer is A as just 1 is sufficient.

Since the distance covered is the same simply use the basic formula
speed * time = distance
speed(1st trip) x time(1st trip) = speed(2nd trip) X time(2nd trip)
therefore s x t = 3/2s x 2
therefore t = 3
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