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Fanny and Alexander are y miles apart and are traveling in a straight

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Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

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New post 06 Dec 2018, 07:25
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Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles

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Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

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New post 06 Dec 2018, 14:30
1
Bunuel wrote:
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles



Statement 1: before they meet they are 135 miles apart, and they meet after 1.5 hours, so the distance between them/relative speed = time taken to meet. So, 135/(25+x)=1.5, x=65. Sufficient.

Statement 2, y = 360 miles, no information about x or time taken to meet each other. Insufficient.

IMO, A.
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Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

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New post 06 Dec 2018, 16:30
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Statement 1: Relative speed = (25+x) mph. Distance covered = 135 in 1.5 hrs. Hence, 135/(25+x)=1.5, x=65. Sufficient.

Statement 2: Relative speed = (25+x) mph. y = 360 miles but no information on time taken to meet each other. Insufficient.

Option: A
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Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

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New post 06 Dec 2018, 22:23
1
Hi,

Given,

Speed of fanny = 25mph

Speed of alexander = “x” mph

Distance between them = “y” miles

Since both of them travelling towards each other (opposite directions), relative speed is sum of their speeds.

i.e., Every hour both will cover = (25+x) mph

Question: Speed of alexander = “x” mph ?

Statement I is sufficient:

1.5 hours before they meet they were 135 miles apart.

This tells the remaining time taken and the distance to cover.

i.e., both will travel 135 miles in 1.5 hours.

So, time = distance/ Speed

1.5 = 135/(25+x)

We can stop here, clearly there will be one value of “x”.

37.5 + 1.5x = 135.

x = 97.5/1.5

x = 65.

So sufficient.

Statement II is insufficient:

y = 360 miles.

Knowing only the distance doesn’t help here. We need to know the time.

So insufficient.

So the answer is A.

Hope this helps.

Regards,
Junaid.
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Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

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New post 24 Dec 2018, 00:18
Bunuel wrote:
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles


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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: Fanny and Alexander are y miles apart and are traveling in a straight &nbs [#permalink] 24 Dec 2018, 00:18
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