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A machine can cut 240 tools in 5 hours. Time needed to cut 168 tools is 
  • a)
    3 hours 20 minutes 
  • b)
    3 hours 30 minutes 
  • c)
    3 hours 
  • d)
    2 hours 10 minutes 
Correct answer is option 'B'. Can you explain this answer?
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Calculation:
To calculate the time needed to cut 168 tools, we can use the concept of direct proportionality.

Given:
Machine can cut 240 tools in 5 hours

Let x be the time needed to cut 168 tools:

Using the concept of direct proportionality:
Number of tools is directly proportional to the time taken to cut them.
Therefore, we can set up the proportion as follows:
240 tools → 5 hours
168 tools → x hours

Solving the proportion:
(240 tools) / (5 hours) = (168 tools) / (x hours)
x = (168 tools * 5 hours) / 240 tools
x = 14 * 5 / 24
x = 3 hours 30 minutes
Therefore, the time needed to cut 168 tools is 3 hours and 30 minutes, which matches with option 'B'.
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A machine can cut 240 tools in 5 hours. Time needed to cut 168 tools isa)3 hours 20 minutesb)3 hours 30 minutesc)3 hoursd)2 hours 10 minutesCorrect answer is option 'B'. Can you explain this answer?
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