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M20-03. If 2 excavators can dig a 10-meter long trench in 50

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Expert Post
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M20-03. If 2 excavators can dig a 10-meter long trench in 50 [#permalink] New post 23 May 2014, 08:58
Expert's post
If 2 excavators can dig a 10-meter long trench in 50 minutes, how long will it take 3 excavators to dig a 15-meter long trench? (Assume the excavators are working at the same constant rates)

A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes
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Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28352
Followers: 4487

Kudos [?]: 45496 [0], given: 6762

Re: M20-03. If 2 excavators can dig a 10-meter long trench in 50 [#permalink] New post 23 May 2014, 08:59
Expert's post
Official Explanation:

If 2 excavators can dig a 10-meter long trench in 50 minutes, how long will it take 3 excavators to dig a 15-meter long trench? (Assume the excavators are working at the same constant rates)

A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes

1 excavator can dig a 10-meter long trench in \(50*2=100\) minutes. So, it can dig a 15-meter long trench in \(100*1.5=150\) minutes.

Hence, 3 excavators can dig a 15-meter long trench in \(\frac{150}{3}=50\) minutes.

Answer: B.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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: M20-03. If 2 excavators can dig a 10-meter long trench in 50   [#permalink] 23 May 2014, 08:59
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