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Caroline bikes uphill to work and returns by the same route at a 30%

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Bunuel
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Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   23 Jan 2018, 23:53
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E

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Caroline bikes uphill to work and returns by the same route at a 30% faster rate. How long is her commute to and from work?

(1) She spends the equivalent of 10% of her workday commuting.
(2) She spends 40% of the entire 24-hour day commuting and working.
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saabdulkhader
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   24 Jan 2018, 01:35
Ans C.
1, and 2, individually is not sufficient.
when combined you can find total time commuting.
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kshitij89
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   24 Jan 2018, 05:03
(1) She spends the equivalent of 10% of her workday commuting - Insufficient

(2) She spends 40% of the entire 24-hour day commuting and working -

So , 10 hrs she spends on Commuting & working - Insufficient.

1+2 : 1 hr she spends to commute to and from work
C is the answer.
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dhnjy
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Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   16 Feb 2018, 04:29
Bunuel wrote:
Caroline bikes uphill to work and returns by the same route at a 30% faster rate. How long is her commute to and from work?

(1) She spends the equivalent of 10% of her workday commuting.
(2) She spends 40% of the entire 24-hour day commuting and working.


Dear Bunuel,

Does 10 % of workday not mean 10% of 24. Afterall, 24 hr is one day.

Thanks.
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getahead
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   27 Mar 2018, 15:44
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dhnjy wrote:
Bunuel wrote:
Caroline bikes uphill to work and returns by the same route at a 30% faster rate. How long is her commute to and from work?

(1) She spends the equivalent of 10% of her workday commuting.
(2) She spends 40% of the entire 24-hour day commuting and working.


Dear Bunuel,

Does 10 % of workday not mean 10% of 24. Afterall, 24 hr is one day.

Thanks.


Hi dhnjy

No that would not be an accurate assumption as the question does not tell how long is her "workday" it could be 10 hours out of 24 hours or could be 8 hours out of 24 hours.
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   02 Jun 2018, 14:50
wait... so it is asking for time taken? and we deduce it just from the statements without the stem!!!

i dont think it is a valid question, but its from bunuel.. so :roll:
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   23 Jul 2018, 08:59
Bunuel wrote:
Caroline bikes uphill to work and returns by the same route at a 30% faster rate. How long is her commute to and from work?

(1) She spends the equivalent of 10% of her workday commuting.
(2) She spends 40% of the entire 24-hour day commuting and working.





isn't the answer (E) ?
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   23 Jul 2018, 10:37
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Bunuel wrote:
Caroline bikes uphill to work and returns by the same route at a 30% faster rate. How long is her commute to and from work?

(1) She spends the equivalent of 10% of her workday commuting.
(2) She spends 40% of the entire 24-hour day commuting and working.


Imo C

From statement 1 we know just the commute time as a percentage of her workday, so this statement is insufficient as we can have any number of hours as working hours.
From statement 2 we know the total work hours that include commute and working time.

From both these statement we can know Caroline's commute total commute time.

from statement 2 we have 0.4*24=9.6 hours
from statement 1 we have commute time = 0.1*working time
or commute time =0.1*9.6 =0.96
Hence together two statements are sufficient .
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   23 Jul 2018, 10:55
I think that the answer is E.

The question is asking for the distance.
Statement1 and Statement2 give us total time = 0.96 hours.
Let distance to work be d kilometers,
time taken to bike uphill be t1 hours,
time taken to return be t2 hours,
speed while going uphill be s kmph

Speed while returning = 1.3s

d = s*t1
d/s = t1

d = 1.3s*t2
d/1.3s = t2

t1 + t2 = 0.96 hours
d/s + d/1.3s = 0.96

Because we do not have the value of the speed, we cannot find the distance.

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   31 Jul 2018, 06:30
And what if the time comuting mentioned in statement 1 was not only to and from her work? I didn't choose C because I thought It was a trap.

Posted from my mobile device
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Kezia9
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   31 Jul 2018, 06:46
ankitsaroha wrote:
I think that the answer is E.

The question is asking for the distance.
Statement1 and Statement2 give us total time = 0.96 hours.
Let distance to work be d kilometers,
time taken to bike uphill be t1 hours,
time taken to return be t2 hours,
speed while going uphill be s kmph

Speed while returning = 1.3s

d = s*t1
d/s = t1

d =
d/1.3s = t2

t1 + t2 = 0.96 hours
d/s + d/1.3s = 0.96

Because we do not have the value of the speed, we cannot find the distance.

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app


Hi Ankit,

We have to find the time taken not the distance. Initially I too misunderstood the question.
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   02 Sep 2019, 19:07
krish76 wrote:
wait... so it is asking for time taken? and we deduce it just from the statements without the stem!!!

i dont think it is a valid question, but its from bunuel.. so :roll:


How? If you're saying so you should also find out the answer.
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   03 Sep 2019, 07:59
TheNightKing wrote:
krish76 wrote:
wait... so it is asking for time taken? and we deduce it just from the statements without the stem!!!

i dont think it is a valid question, but its from bunuel.. so :roll:


How? If you're saying so you should also find out the answer.


So, with the statement 2 you know that the time taken for work and commute is 10 hours.
Statement 1 tells you that the commute time is 1 hour.

Assume time taken while going uphill is "a" so then the time taken when going downhill is "1-a"

Speed while uphill be "s" so now then speed coming downhill is "1.3s".

Distance covered is same going uphill and downhill.

So, a*s = 1.3s(1-a)
Divide by s on both the sides.
a=1.3(1-a)

This is a solvable equation hence the data provided by 1&2 is sufficient.
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   27 Sep 2019, 12:56
Does all the answers assume - definition of work day (which is commuting + working) not working only? Was E for me though.
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink] New post   04 Oct 2019, 09:11
Bunuel wrote:
Caroline bikes uphill to work and returns by the same route at a 30% faster rate. How long is her commute to and from work?

(1) She spends the equivalent of 10% of her workday commuting.
(2) She spends 40% of the entire 24-hour day commuting and working.



Question boils down to just "What do you mean by a WORKDAY?".
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Re: Caroline bikes uphill to work and returns by the same route at a 30% [#permalink]
04 Oct 2019, 09:11
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Bunuel
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