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Tim traveled 40 percent of the distance of his trip alone, continued a

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Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 06:43
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Tough and Tricky questions: Word Problems.



Tim traveled 40 percent of the distance of his trip alone, continued another 20 miles with Sam and then finished the last half of the trip alone. How many miles long was the trip?

A. 240
B. 200
C. 160
D. 100
E. 50

Kudos for a correct solution.

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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 06:50
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Tim traveled 40 percent of the distance of his trip alone, continued another 20 miles with Sam and then finished the last half of the trip alone. How many miles long was the trip?

A. 240
B. 200
C. 160
D. 100
E. 50

Kudos for a correct solution.


Let x be the total distance.

40% of x= 0.4x and 50% of x= 0.5x

then total will be,

= 0.4x+20+0.5x=x
->20=x- 0.9x
-> 20=0.1x---> Dividing both side by 0.1

We get x=200. So the answer is B.
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 07:13
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Tim traveled 40 percent of the distance of his trip alone, continued another 20 miles with Sam and then finished the last half of the trip alone. How many miles long was the trip?

A. 240
B. 200
C. 160
D. 100
E. 50

Kudos for a correct solution.


let total distance be x. thus we have,

20 miles = 10% of x
or x= 200 miles
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 08:49
Let X be the total distance

X - 0.4X - 0.5x = 20

0.1X = 20

X = 200

Option B.
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 10:12
Let total distance be x. So equation will be
0.4x(alone) + 20(with Sam) + 0.5x(alone) = x
0.9x + 20 = x
0.1x = 20
x = 200

So correct answer is B.
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 10:20
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Tim traveled 40 percent of the distance of his trip alone, continued another 20 miles with Sam and then finished the last half of the trip alone. How many miles long was the trip?

A. 240
B. 200
C. 160
D. 100
E. 50

Kudos for a correct solution.



Tim traveled 10% of the travel with sam which is 20Miles

then total travel distance = 10*20 = 200miles

Ans B
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 10:28
First 40% Alone, last 50% alone
so 20 miles represents 10%
and complete trip represents 200miles
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 07 Jan 2015, 23:49
Answer = B. 200

50% + 40% = 90% of the trip "x", Tim has travelled alone

So, rest 10% of the trip = 20 = has been travelled with Sam

So, \(\frac{10x}{100} = 20\)

x = 200
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 09 Jan 2015, 05:59
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Tim traveled 40 percent of the distance of his trip alone, continued another 20 miles with Sam and then finished the last half of the trip alone. How many miles long was the trip?

A. 240
B. 200
C. 160
D. 100
E. 50

Kudos for a correct solution.


OFFICIAL SOLUTION:

(B) The easiest way to visualize this problem is to turn it into an equation. Let x be the total length of the trip. We then know that this is what Tim traveled: 0.4x (first part of the trip traveled alone) + 20 (miles traveled with Sam) + 0.5x (last leg of the trip traveled alone). Thus, 0.4x + 20 + 0.5x = x. Now solve for x:

0.4x + 20 + 0.5x = x
0.9x + 20 = x
20 = 0.1x
200 = x.

The total length of the trip was 200 miles. The answer is (B).
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Tim traveled 40 percent of the distance of his trip alone, continued a  [#permalink]

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New post 31 Jul 2018, 02:12
If 40% of the trip plus 20 miles of the trip yields the 50% of the total trip, then we can say that 20milies of the trip equals 10% of the total trip. 100% will be 200 miles. :lol:
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Re: Tim traveled 40 percent of the distance of his trip alone, continued a &nbs [#permalink] 31 Jul 2018, 02:12
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