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How many hours did it take Dale to drive

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How many hours did it take Dale to drive [#permalink] New post 20 Dec 2011, 06:47
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68% (01:41) correct 32% (00:52) wrong based on 231 sessions
How many hours did it take Dale to drive from A-town to B-town?

(1) If Dale’s average speed for the trip had been three times as fast, the trip would have taken 2 hours.

(2) The distance from A-town to B-town is 100 miles.

can someone please explain, 1) with mathematical expression.
Thanks
[Reveal] Spoiler: OA

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Re: How many hours did it take Dale to drive [#permalink] New post 20 Dec 2011, 07:02
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Time= distance/speed

let-
distance be d

A.
avg. speed (s1)=d/t1
time taken=t1
t1=d/s1

avg. speed=3s1
time taken=t2
t2=d/3s1

According to given condition
t2-t1=2
d/s1(1-1/3)=2
d/s1=something
Sufficient

Eliminate B, C, & E.

2.
Insufficient

Hence A
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Re: How many hours did it take Dale to drive [#permalink] New post 20 Dec 2011, 10:41
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The mathematical expression only seems to complicate things and requires quite a few steps. Thinking about the problem logically, on the other hand, can allow you to deal with (1) in a matter of seconds.

If Dale triples his average speed, then he spends 1/3 less time on the trip. Because he spends 2 hours completing the trip at triple the speed, the original trip would have taken him 6 hours. SUFFICIENT

For (2) we are only given the distance between two cities, A and B. Nowhere is there any rate, so we cannot answer the question. INSUFFICIENT

A.
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Re: How many hours did it take Dale to drive [#permalink] New post 20 Dec 2011, 20:16
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Statement 1 is sufficient

T = D/S

2 = D/3S

6 = D/S

T = D/S = 6

Statement 2 gives

T = 100/S

so the value of T depends on the unknown value of S. Insufficient.
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Re: How many hours did it take Dale to drive [#permalink] New post 05 Jan 2012, 06:49
Easy one this.
Statement 1 mentions that if he travels at thrice his average speed, he will take 2 hours. Thus he would have taken 6 hours at his average speed. SUFFICIENT.
Statement 2 gives us no information about rate of travel. INSUFFICIENT.
Answer: A
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Re: How many hours did it take Dale to drive [#permalink] New post 06 Jan 2012, 17:34
Let d = distance, x = rate. Time = d/x.

1. If 3x rate -> d/3x = 2 hours -> d/x = 6 hours. Suff
2. d = 100. -> d/x = 100/x, but no info on x. Insuff.

A.
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Re: How many hours did it take Dale to drive [#permalink] New post 10 Mar 2012, 00:16
It's tempting to start putting D-S-T on paper and trying to attempt this. But ChrisLele's solution validated my approach of simply talking my way to the solution!
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Re: How many hours did it take Dale to drive [#permalink] New post 21 Jul 2014, 19:49
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Re: How many hours did it take Dale to drive   [#permalink] 21 Jul 2014, 19:49
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