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How much time did the man spend walking?

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Each day a man meets his wife at the train station after [#permalink] New post 01 May 2010, 09:41
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Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?


A� 45 minutes

B� 50 minutes

C� 40 minutes

D� 55 minutes

E� 35 minutes
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Re: How much time did the man spend walking? [#permalink] New post 01 May 2010, 10:18
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neoreaves wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?


A� 45 minutes

B� 50 minutes

C� 40 minutes

D� 55 minutes

E� 35 minutes


Is it B ? from the question stem we can see that his wife drove for 20 mins less. Lets plug in numbers to make it simple..

say for e.g every day his wife leaves her house by 4PM, reaches station at 5 PM and reaches back home at 6 PM. Now today they reached at 5:40 PM so that means his wife drove 10 mins less at each side ( 10 mins while going to station and 10 mins while coming back from station). Which means she picked him at 4:50 PM, also from the question stem we know that man's train reached one hour earlier which means 4 PM so that means the man walked for 50 mins...!

I hope I am able to explain..!

Cheers

PS : This is a PS question and should have been posted in PS forum.
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Re: How much time did the man spend walking? [#permalink] New post 01 May 2010, 10:20
neoreaves wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?


A� 45 minutes

B� 50 minutes

C� 40 minutes

D� 55 minutes

E� 35 minutes


As they arrived 20 minutes earlier than usual, they saved 20 minutes on round trip from home to station (home-station-home) --> 10 minutes in each direction (home-station) --> wife meets husband 10 minutes earlier the usual meeting time --> husband arrived an hour earlier the usual meeting time, so he must have spent waking the rest of the time before their meeting, which is hour-10 minutes=50 minutes.

Answer: B.
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Manager
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Re: How much time did the man spend walking? [#permalink] New post 01 May 2010, 23:26
thanks guys :) .
Re: How much time did the man spend walking?   [#permalink] 01 May 2010, 23:26
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