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Working alone, Bill can finish his design in 10 days. With Mason’s help, he only takes 4 days to complete his design. At this rate, how many days would it take Mason, working alone, to complete the design? 
  • a)
  • b)
  • c)
  • d)
  • e)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Working alone, Bill can finish his design in 10 days. With Mason&rsquo...
Step 1: Question statement and Inferences
The question is asking for the time needed for Mason to complete the job based on the time needed by Bill alone and by Bill and Mason working together.
You can infer that the rates in which they work do not change.
Step 2: Finding required values
Working alone, Bill can complete the design in 10 days.
Let the total amount of work involved in making the design be W
So, work done by Bill in 10 days = W
Work done by Bill in 1 day = W/10 
Let Mason working alone take d days to complete W amount of work
So, work done by Mason in d days = W
Work done by Mason in 1 day = W/d
When Bill and Mason work together,
They complete the work in 4 days
This means,
Work done by Bill and Mason in 4 days = W
Work done by Bill and Mason in 1 day = W/4
So,
W/10 + W/d = W/4
1/10 + 1/d = 1/4 
 
Step 3: Calculating the final answer
Solve for Mason’s time. First, subtract  from both sides:
1/d = 3/20 
Next, cross multiply:
3(d) = 20
Finally, divide both sides by 3:
d = 20/3
It would take Mason, working alone,   days to complete the design.
Answer: Option (C)
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Working alone, Bill can finish his design in 10 days. With Mason’s help, he only takes 4 days to complete his design. At this rate, how many days would it take Mason, working alone, to complete the design?a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Working alone, Bill can finish his design in 10 days. With Mason’s help, he only takes 4 days to complete his design. At this rate, how many days would it take Mason, working alone, to complete the design?a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Working alone, Bill can finish his design in 10 days. With Mason’s help, he only takes 4 days to complete his design. At this rate, how many days would it take Mason, working alone, to complete the design?a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer?.
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