Working at a constant rate and by himself, it takes worker U three

Question

Working at a constant rate and by himself, it takes worker U three hours to fill up a ditch with sand. How long would it take for worker V to fill up the same ditch working by herself?

(1) Working together but at the same time U and V an fill in the ditch in 1 hour 105/2 minutes.
(2) In any length of time worker V fills in only 60% as much as worker U does in the same time.

This is a  Data Sufficiency Butler Question

Check the links to other Butler Projects:

Problem Solving Butler  
  Data Sufficiency Butler  
  Critical Reasoning Butler  
  Reading Comprehension Butler  
  Data Insights Butler

Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!

ManifestDreamMBA · Answer

Time taken by U = 3hr
Time taken by V = ?

S1
Time taken by U and V = 1 hour 105/2 minutes = 1 + 105/120 = 1+7/8 = 15/8 hrs
Rates are additive
8/15 = 1/3 +1/V
1/V = 3/15
V = 5hrs
Sufficient

S2
Rate of V = 0.6 * Rate of U = 0.6*1/3 = 1/5
Time taken by V = 5hrs
Sufficient

Answer D

APram · Answer

IMO this can be answered even without calculation.

Working rate of U = 1/3

Working rate of V =?

Statement 1
Working rate of U and V is 1hour 105/2minutes
We will have a definite unique value for Rate of V
So sufficient

Statement 2
Working rate of V is 60% of U
Since U has unique value so V will have unique value

Hence sufficient

So D is the answer

minnieminnoon · Answer

Given working hours=
U = 3 hours
V = ?

1. Working tgt would use 1 hr. 105/2 minutes
Regardless pf the numbers, 1/a+1/b=1/total

Can find v, so, sufficient

2. In any length of time V would work 60% of U

Apply 0.6 to U hours, U has a solid 3 hours provided

Sufficient

Answer D

Dereno · Answer

Time taken by U = 3 hrs.

To find time taken by V ?

Statement 1:

(1) Working together but at the same time U and V can fill in the ditch in 1 hour 105/2 minutes.

Out of the three time (U, V and U+V) if any two time is given it’s easier to find the missing one.

Hence,  Sufficient

Statement 2:

(2) In any length of time worker V fills in only 60% as much as worker U does in the same time.

This statement, says about the efficiency of work by U and V.

Eu : Ev = 100: 60 = 5:3

Tu : Tv = 3:5

we know that U is 3 hrs. So V is 5 hrs.

Hence,  Sufficient

Option D

Missinga · Answer

Time taken by U= 3 hrs 
Time taken by V= ?

(1) Working together but at the same time U and V an fill in the ditch in 1 hour 105/2 minutes.
1/V + 1/U= 1/(1+(105/2*60)) hrs
1/V + 1/3= 8/15
1/V = 8/15 - 1/3 
1/V= 3/15 
Sufficient

(2) In any length of time worker V fills in only 60% as much as worker U does in the same time.
In 3 hrs, worker V fills 60% 
So, he fills 100% in 3*100/60= 5 hrs 
Sufficient

Answer: D

Salamax · Answer

Guys, I’m new here. Where are answers ABCD if there are only 1 and 2

APram · Answer

Hi,

In data Sufficiency type, you have five options 
A - Statement(1) alone is sufficient to answer the question
B - Statement(2) alone is sufficient to answer the question
C - Both statement 1 and 2 together is sufficient to answer the question but not alone
D - Both statements individually are sufficient to answer question
E - Neither statement 1 nor statement 2 is sufficient to answer the question.

Bunuel · Answer

Hi,

This is a data sufficiency question. Options for DS questions are always the same and usually omitted on the site.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Hope this helps.

ravi1522 · Answer

Time taken by U = 3 hrs.

To find time taken by V we need the rate of work of V

Statement 1:

(1) Working together but at the same time U and V can fill in the ditch in 1 hour 105/2 minutes.

So we know the combine rate so we can get the U rate as we know the V rate .

Hence, Sufficient

Statement 2:

(2) In any length of time worker V fills in only 60% as much as worker U does in the same time.

This statement, says about the efficiency of work by U and V.

we know that U is 3 hrs so V will take 5 hrs to complete work

Hence, Sufficient

Option D is correct

Working at a constant rate and by himself, it takes worker U three

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

Working at a constant rate and by himself, it takes worker U three

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards