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The Lewiston Road Race is how many kilometers long?

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The Lewiston Road Race is how many kilometers long?  [#permalink]

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New post 02 Apr 2018, 09:04
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A
B
C
D
E

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Question Stats:

74% (00:37) correct 26% (00:30) wrong based on 78 sessions

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The Lewiston Road Race is how many kilometers long?

(1) It takes 2 more hours to complete the race at an average speed of 40 kilometers per hour than at an average speed of 50 kilometers per hour.

(2) At an average speed of 20 kilometers per hour, it took Brett 10 hours to complete half the race.

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Re: The Lewiston Road Race is how many kilometers long?  [#permalink]

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New post 02 Apr 2018, 09:24
1
QZ wrote:
The Lewiston Road Race is how many kilometers long?

(1) It takes 2 more hours to complete the race at an average speed of 40 kilometers per hour than at an average speed of 50 kilometers per hour.

(2) At an average speed of 20 kilometers per hour, it took Brett 10 hours to complete half the race.


From 1: for average speed of 50 kilometers per hour time =t
for average speed of 40 kilometers per hour time =t+2
50*t=40*(t+2)
From here we will get t and multiply with 50 to get distance.
No need to solve till last.

Sufficient
From 2: 10*20=d/2
hence sufficient.

So option D.
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Re: The Lewiston Road Race is how many kilometers long?  [#permalink]

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New post 28 Jul 2018, 23:35
AkshdeepS wrote:
The Lewiston Road Race is how many kilometers long?

(1) It takes 2 more hours to complete the race at an average speed of 40 kilometers per hour than at an average speed of 50 kilometers per hour.

(2) At an average speed of 20 kilometers per hour, it took Brett 10 hours to complete half the race.


Again this seems like a flawed question

according to option A , total distance = 400 KM
According to option B , total distance =200 KM

Although the answer is D, both the statements should give the same value for distance.

Hope this helps.
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Re: The Lewiston Road Race is how many kilometers long?  [#permalink]

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New post 16 Nov 2018, 19:29
AkshdeepS wrote:
The Lewiston Road Race is how many kilometers long?

(1) It takes 2 more hours to complete the race at an average speed of 40 kilometers per hour than at an average speed of 50 kilometers per hour.

(2) At an average speed of 20 kilometers per hour, it took Brett 10 hours to complete half the race.


Statement 1:
Rate and time have a RECIPROCAL relationship.
A rate ratio of (40kph) : (50kph) = 4:5 implies a time ratio of 5:4 = 10:8.
The time ratio in blue implies that -- for the time at 40kph to be 2 hours more than the time at 50kph -- the time at 40kph must be 10 hours, while the time at 50kph must be 8 hours.
Since it takes 10 hours to complete the race at a speed of 40kph, the race = rt = 40*10 = 400 kilometers.
SUFFICIENT.

Statement 2:
When Brett travels at a speed of 20kph for 10 hours, the distance = rt = 20*10 = 200 kilometers.
Since these 200 kilometers constitute half the race, the entire race = 400 kilometers.
SUFFICIENT.


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Re: The Lewiston Road Race is how many kilometers long?  [#permalink]

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New post 18 Nov 2018, 13:45
AkshdeepS wrote:
The Lewiston Road Race is how many kilometers long?

(1) It takes 2 more hours to complete the race at an average speed of 40 kilometers per hour than at an average speed of 50 kilometers per hour.

(2) At an average speed of 20 kilometers per hour, it took Brett 10 hours to complete half the race.

\(? = D\,\,\,\,\,\left[ {{\rm{km}}} \right]\)

Let´s use UNITS CONTROL, one of the most powerful tools of our method!

\(\left( 1 \right)\,\,\,\left( {\,\,\left[ {{\rm{km}}} \right] \cdot {{\left[ {\rm{h}} \right]} \over {\left[ {{\rm{km}}} \right]}}\,\, = \,\,\left[ {\rm{h}} \right]\,} \right)\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,D \cdot {1 \over {40}} - D \cdot {1 \over {50}} = 2\,\,\,\,\left[ {\rm{h}} \right]\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,{\rm{SUFF}}.\,\,\,\,\,\,\,\,\,\left( {{1^{{\rm{st}}}}\,\,{\rm{degree}}\,\,{\rm{equation}}\,\,{\rm{in}}\,\,D} \right)\)

\(\left( 2 \right)\,\,\,?\,\, = \,\,2 \cdot 10\,{\rm{h}}\,\, \cdot \,\,{{20\,\,{\rm{km}}} \over {1\,\,{\rm{h}}}}\,\, = 400\,\,\,\,\left[ {\,{\rm{km}}\,} \right]\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,{\rm{SUFF}}.\,\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: The Lewiston Road Race is how many kilometers long? &nbs [#permalink] 18 Nov 2018, 13:45
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The Lewiston Road Race is how many kilometers long?

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