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Hardy and Andy start a two-length swimming race at the same moment but

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Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 25 May 2017, 02:21
VeritasPrepKarishma wrote:
Hussain15 wrote:
Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?

A. 55.5 m
B. 45 m
C. 66 m
D. 49 m
E. 54 m


Let length of the pool be L.

Deep

A —————————————><———————————----———————————— H
.................(18.5m)


H ——————————————————————————-———><————————- A
..............................................................................................................(10.5)


In same time, Andy covers 18.5 and Hardy covers L - 18.5.
In same time, Andy covers L - 18.5 + 10.5 while Hardy covers 18.5 + L - 10.5
The ratio of these distances covered would be the same since the speeds of both people are constant.

18.5/(L - 18.5) = (L - 8)/(L + 8)
Plug in the options to find that L = 45 works.

How do you say that the 45 seconds wait time does not matter?
And can something of this sort be expected on the GMAT?
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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 25 May 2017, 02:48
ShashankDave wrote:
VeritasPrepKarishma wrote:
Hussain15 wrote:
Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?

A. 55.5 m
B. 45 m
C. 66 m
D. 49 m
E. 54 m


Let length of the pool be L.

Deep

A —————————————><———————————----———————————— H
.................(18.5m)


H ——————————————————————————-———><————————- A
..............................................................................................................(10.5)


In same time, Andy covers 18.5 and Hardy covers L - 18.5.
In same time, Andy covers L - 18.5 + 10.5 while Hardy covers 18.5 + L - 10.5
The ratio of these distances covered would be the same since the speeds of both people are constant.

18.5/(L - 18.5) = (L - 8)/(L + 8)
Plug in the options to find that L = 45 works.

How do you say that the 45 seconds wait time does not matter?
And can something of this sort be expected on the GMAT?


The wait time doesn't matter since after their first meet, they both rest for 45 secs and then meet again.
Say, they meet again in 2 mins. But actually both swam for only 1 min 15 secs. Doesn't matter to us either way. Time for which they swam is still the same. So ratio of distance covered will still be the same as the ratio of their speeds.
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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 25 May 2017, 03:23
VeritasPrepKarishma wrote:
ShashankDave wrote:
VeritasPrepKarishma wrote:
[quote="Hussain15"]Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?

A. 55.5 m
B. 45 m
C. 66 m
D. 49 m
E. 54 m


Let length of the pool be L.

Deep

A —————————————><———————————----———————————— H
.................(18.5m)


H ——————————————————————————-———><————————- A
..............................................................................................................(10.5)


In same time, Andy covers 18.5 and Hardy covers L - 18.5.
In same time, Andy covers L - 18.5 + 10.5 while Hardy covers 18.5 + L - 10.5
The ratio of these distances covered would be the same since the speeds of both people are constant.

18.5/(L - 18.5) = (L - 8)/(L + 8)
Plug in the options to find that L = 45 works.

How do you say that the 45 seconds wait time does not matter?
And can something of this sort be expected on the GMAT?


The wait time doesn't matter since after their first meet, they both rest for 45 secs and then meet again.
Say, they meet again in 2 mins. But actually both swam for only 1 min 15 secs. Doesn't matter to us either way. Time for which they swam is still the same. So ratio of distance covered will still be the same as the ratio of their speeds.[/quote]
Okay..I took example numbers for time and understood the same..but as this concept is completely new..it couldn't have struck in the test under pressure..is it honestly a GMAT problem?

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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 15 Jul 2017, 02:55
VeritasPrepKarishma wrote:
In same time, Andy covers L - 18.5 + 10.5 while Hardy covers 18.5 + L - 10.5


Just to highlight - For this equation to be formed, the underlying criteria that they both complete 1 Length of the pool (given in the question) is important.

I got confused with the fact that, Andy needn't have completed his 1 full length yet before meeting for the second time. I need to read the question prompt carefully.
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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 16 Jul 2017, 00:54
I am stilling struggling to understand the question since I'm not english native speaker. Could anyone help explain the meaning of "deep end" and "shallow end" mentioned in the question? Without understanding correctly, I cannot depict the question....
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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 16 Jul 2017, 01:51
1
JoPha wrote:
I am stilling struggling to understand the question since I'm not english native speaker. Could anyone help explain the meaning of "deep end" and "shallow end" mentioned in the question? Without understanding correctly, I cannot depict the question....


A swimming pool is typically constructed in a rectangular fashion (L X B). It doesn't really matter what the deep and shallow ends actually are, other than the fact that they are opposite ends of a swimming pool.

Shallow end (4ft depth) Deep end (17ft)
_____________________________________________
|-------------------------------------------------------------|
|-------------------------------------------------------------|
|-------------------------------------------------------------|
|-------------------------------------------------------------|
|-------------------------------------------------------------|
<---------------Length of the pool---------------------->

The question indicates the race length as 2-length, which means the swimmer:

- goes from one end to and another
- and returns to that end to finish the race

Hope this helps.
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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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New post 17 Jul 2017, 04:01
rbramkumar wrote:
JoPha wrote:
I am stilling struggling to understand the question since I'm not english native speaker. Could anyone help explain the meaning of "deep end" and "shallow end" mentioned in the question? Without understanding correctly, I cannot depict the question....


A swimming pool is typically constructed in a rectangular fashion (L X B). It doesn't really matter what the deep and shallow ends actually are, other than the fact that they are opposite ends of a swimming pool.

Shallow end (4ft depth) Deep end (17ft)
_____________________________________________
|-------------------------------------------------------------|
|-------------------------------------------------------------|
|-------------------------------------------------------------|
|-------------------------------------------------------------|
|-------------------------------------------------------------|
<---------------Length of the pool---------------------->

The question indicates the race length as 2-length, which means the swimmer:

- goes from one end to and another
- and returns to that end to finish the race

Hope this helps.


Now I'm clear. Thank you very much.
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Re: Hardy and Andy start a two-length swimming race at the same moment but  [#permalink]

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