Q1
What does the unitary method find first?
AThe value of one unit
BThe final answer directly
CNothing specific
DOnly the largest value
ICSEClass 7 (ICSE)MathematicsCh 7 · Topic 1
Unitary Method (Including Time and Work)
The unitary method finds the value of one unit before calculating for any quantity, useful for solving time and work problems too.
Core concept
For time and work problems, we find how much work one person or machine does in one unit of time, then scale up or down as needed.
How it works
For example, if 4 workers complete a job in 6 days, we find the total 'work units' (4×6=24), then use this to solve related problems.
Why it matters
If we know one worker's daily output, we can calculate how many workers or days are needed for a different job size.
Key detail
The unitary method's flexibility makes it valuable for solving cost, speed, and time-and-work problems in a consistent, logical way.
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• Unitary method finds one unit's value first.
• For time and work, find work per person per day.
• 4 workers x 6 days = 24 work units.
• We use work units to solve related problems.
• Knowing one worker's output helps calculations.
• This finds needed workers or days.
• The method applies to cost and speed too.
• It provides a consistent problem-solving approach.