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Is the number of seconds required to travel d1 feet at r1

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gluon
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Is the number of seconds required to travel d1 feet at r1 [#permalink] New post   Updated on: 23 Dec 2013, 00:08
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61% (01:27) correct 39% (01:40) wrong based on 450 sessions
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Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second?

(1) d1 is 30 greater than d2
(2) r1 is 30 greater than r2.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-number-of-seconds-required-to-travel-d1-feet-at-r1-143694.html
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E

Originally posted by gluon on 18 Sep 2007, 12:12.
Last edited by Bunuel on 23 Dec 2013, 00:08, edited 1 time in total.
Edited the question and added the OA.
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Ravshonbek
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Re: DS - Set 7, Q13 - Rate and distance [#permalink] New post   18 Sep 2007, 12:33
gluon wrote:
Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second?

(1) d1 is 30 greater than d2.

(2) r1 is 30 greater than r2.


I think it is combined together suff.

T1=D1/R1
T2=D2/R2

1. D1=D2+30 we cannot say anything using this info
2. R1=R2+30 the same not suff alone

now combine it:

T1=(D2+30)/(R2+30)
T2=D2/R2
from here i think only way to go with is plugging numbers. it should come with the answer then.
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gluon
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Re: DS - Set 7, Q13 - Rate and distance [#permalink] New post   18 Sep 2007, 12:59
Ravshonbek wrote:
now combine it:

T1=(D2+30)/(R2+30)
T2=D2/R2
from here i think only way to go with is plugging numbers. it should come with the answer then.


This last step is the problem exactly. I am not agreeing with the OA here.

What answer do you get?
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Re: DS - Set 7, Q13 - Rate and distance [#permalink] New post   18 Sep 2007, 13:13
gluon wrote:
Ravshonbek wrote:
now combine it:

T1=(D2+30)/(R2+30)
T2=D2/R2
from here i think only way to go with is plugging numbers. it should come with the answer then.


This last step is the problem exactly. I am not agreeing with the OA here.

What answer do you get?


i think combined 1 and 2 is suff. so C
there is no need for solving it further i guess. just plug any number D2 and R2 but i am not sure about the speed in seconds. i think distance will be longer so 100 then rate per second is small so 5 may be. then answer should come. T2>T1
not sure still
lets see what guys say. i would pick C
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b14kumar
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Re: DS - Set 7, Q13 - Rate and distance [#permalink] New post   18 Sep 2007, 14:09
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gluon wrote:
Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second?

(1) d1 is 30 greater than d2.

(2) r1 is 30 greater than r2.


Well, neither of the statements is SUFF.

Taking both statements together.

T2 = (d2/r2)
T1 = (d1/r1) = (d2+30)/(r2+30)

Now,

Let's take two cases:

Case1: When d2 > r2

d2 = 100 and r2 = 10

In this case,
T2 = 10
T1 = 13/4 = 3.25

So T2 > T1

Case1: When d2 < r2

d2 = 100 and r2 = 200

In this case,
T2 = 1.5
T1 = 13/23 ~ 1.6

So T1 > T2

Hence both ST1 and ST2 are not sufficient.

I would go with E.

- Brajesh
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[#permalink] New post   19 Sep 2007, 12:08
I get E as well..

if D2=R2, then T1=T2

is D2 is different from R2 we will get a different answer...

E it is..
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Re: Is the number of seconds required to travel d1 feet at r1 [#permalink] New post   22 Dec 2013, 19:45
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gluon wrote:
Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second?

(1) d1 is 30 greater than d2.

(2) r1 is 30 greater than r2.


Plug in approach will work.

1. Take two cases. (i) d1=10 and d2 =40 and (ii) d1=110 and d2=140

(i) alone is not sufficient

2.Take two cases (i) r1=10, r2=40 (ii) r1=110 and r2=140

(ii) alone is not sufficient

3. Combine (i) and (ii). Take the extremes (i) d1=10 and r1=110 and d1=110 and r1=10 and (ii) d2=40 and r2=140 and d2=140 and r2=40

The different cases do not totally agree with one another.

So the answer is E.
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Re: Is the number of seconds required to travel d1 feet at r1 [#permalink] New post   23 Dec 2013, 00:09
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Is the number of seconds required to travel d1 feet at r1 feet per second greater than the number of seconds required to travel d2 feet at r2 feet per second?

We need to find whether \(\frac{d_1}{r_1}>\frac{d_2}{r_2}\).

(1) d1 is 30 greater than d2 --> \(d_1=d_2+30\). Nothing about the rates. Not sufficient.
(2) r1 is 30 greater than r2 --> \(r_1=r_2+30\). Nothing about the distances. Not sufficient.

(1)+(2) The question becomes whether \(\frac{d_2+30}{r_2+30}>\frac{d_2}{r_2}\). Now, if \(d_2=r_2\), then \(\frac{d_2+30}{r_2+30}=\frac{d_2}{r_2}\), thus in this case the answer would be NO but if \(d_2=1\) and \(r_2=2\), then in this case \(\frac{d_2+30}{r_2+30}=\frac{31}{32}>\frac{1}{2}=\frac{d_2}{r_2}\), thus in this case the answer would be YES. Not sufficient.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-number-of-seconds-required-to-travel-d1-feet-at-r1-143694.html
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Re: Is the number of seconds required to travel d1 feet at r1 [#permalink]
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