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kaplan 36

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by resilient » Thu Apr 03, 2008 10:40 pm
Youseff lives x blocks from his office. It takes him 1 minute per block to walk towork and 20 second per block to ride his bike to work. It is takes him exactly 10 minutes more to walk to work than to ride his bike to work, then x equals?

a.4
b.7
c.10
d.15
e.20


qa is d

My approach: I added the rates which came to 4blocks per minute but was not able to set up the proper equation ot finish the question. I tried to plug it into DRT but I got confused. I can easily finish advanced (two worker) at same time questions. But I get stuck on these!
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Source: — Problem Solving |
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by mandy12 » Thu Apr 03, 2008 11:53 pm
Let the number of blocks be X..he takes 1 minute for each block ...so total time to walk is X minutes...

He takes 20 sec = 1/3 minutes on bike for each block ...so for X blocks ..it is X/3 minutes ...

the difference between the 2 is 10 minutes ..so

X - X/3 = 10 => X = 15
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Re: kaplan 36

by lunarpower » Fri Apr 04, 2008 1:46 am
Enginpasa1 wrote:Youseff lives x blocks from his office. It takes him 1 minute per block to walk towork and 20 second per block to ride his bike to work. It is takes him exactly 10 minutes more to walk to work than to ride his bike to work, then x equals?

a.4
b.7
c.10
d.15
e.20


qa is d

My approach: I added the rates which came to 4blocks per minute but was not able to set up the proper equation ot finish the question. I tried to plug it into DRT but I got confused. I can easily finish advanced (two worker) at same time questions. But I get stuck on these!
this question is also a perfect candidate for plugging in the answer choices and working backwards.

try the middle choice (c) first:
if it's ten blocks, then it takes ten minutes to walk the distance, and 10 x (1/3) = 3 1/3 minutes to bike it. (note that i'm using 20 seconds = 1/3 minute)
that's not a large enough difference, and the smaller distances would lead to even smaller differences. so, a, b, and c are all gone.

try (d):
if it's fifteen blocks, then it takes 15 minutes to walk the distance, and 15 x (1/3) = 5 minutes to bike it. so, there you go: the difference is ten minutes.

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by DGI2005 » Fri Apr 04, 2008 2:47 am
let A the number of blocks W time in min to walk and B time in min to bike
we know that W = A (1 min per block) and B= 1/3 A and also B=W-10
then B= W-10 OR 1/3A= A-10 THEN A-1/3A=10 SO 2/3 A=10
A=3/2 * 10 OR 30/2 OR 15
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by AleksandrM » Fri Apr 04, 2008 9:38 am
I tried to solve this using d=r x t but ended up with a bunch of negative numbers. Is there a way to solve this using the above equation/approach.

Thanks.

Never mind. I figured it out now. I see why the setup is x - x/3 = 10. The trick is to realize that t = x is enough to get the answer. There is not need to solve for t and then plug values back into any equation to solve for x.
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plugging numbers

by resilient » Fri Apr 04, 2008 12:33 pm
for some reason, I try to solve the problem and nail it. With this, I end up sometimes makeing things much harder than they really are. So the take away is that I should plug in to make life easier. RIGHT?
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baksolving yousef problem

by resilient » Fri Apr 04, 2008 1:04 pm
OK by listening to lunar powers advice to backsolve.

Choice D; with D=RT formula


C: times do not match!

D: D=15

walk: 15=(1/1)(T+10) RT respectively this equals 15 minutes

bike: 15=(3/1)(T) RT Respecitvely this equals 15 minutes also.

Since they are equal does this suffice? Am I on the right track?
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