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Ron walks to a viewpoint and returns to the starting point by his c

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Ron walks to a viewpoint and returns to the starting point by his c [#permalink]

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New post 20 Mar 2016, 01:37
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Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.

A. 8 h 45 min
B. 7 h 45 min
C. 6 h 45 min
D. 5 h 30 min
E. None of these
[Reveal] Spoiler: OA

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Ron walks to a viewpoint and returns to the starting point by his c [#permalink]

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New post 20 Mar 2016, 01:44
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Bunuel wrote:
Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.

A. 8 h 45 min
B. 7 h 45 min
C. 6 h 45 min
D. 5 h 30 min
E. None of these


SOLUTION:

1. (Walking to to a viewpoint) + (Driving back) = (6 hours 45 minutes)

2. (Driving to a viewpoint) + (Driving back) = (6 hours 45 minutes - 2 hours) = (4 hours 45 minutes), therefore (one way driving) = (4 hours 45 minutes)/2 = (2 hours 22.5 minutes).

3. From 1. (one way driving) = (6 hours 45 minutes) - (2 hours 22.5 minutes) = (4 hours 22.5 minutes).

4. (Walking to to a viewpoint) + (Walking back) = (4 hours 22.5 minutes) + (4 hours 22.5 minutes) = (8 hours 45 minutes).

Answer: A.

Hope it's clear.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Ron walks to a viewpoint and returns to the starting point by his c [#permalink]

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New post 20 Mar 2016, 14:37
let t=hours to walk 1/2 distance
27/4-8/4=19/4 hours to drive total distance
(19/4)/2=19/8 hours to drive 1/2 distance
t+19/8-2=19/4
t=35/8=4 h 22.5 min
2t=8 h 45 min
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Re: Ron walks to a viewpoint and returns to the starting point by his c [#permalink]

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New post 14 Dec 2017, 06:43
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Re: Ron walks to a viewpoint and returns to the starting point by his c   [#permalink] 14 Dec 2017, 06:43
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