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4 boys or 7 girls can complete a piece of work in 18 days. How many days will 12 boys and 21 girls together take to complete
this job?
3 days
4 days
6 days
5 days
- Given Information:
- 4 boys or 7 girls complete the work in 18 days.
- Need to find out how long 12 boys and 21 girls will take.
- Calculating Total Work:
- Let 1 boy's 1-day work = b, and 1 girl's 1-day work = g.
- 4b=7g.
- Total work = 4b×18=72b or 7g×18=126g.
- Calculating Combined Rate of Work:
- The combined 1-day work of the group is 12b+21g.
- Substitute g=47b using 4b=7g.
- 12b+21g=12b+21×47b=12b+12b=24b.
- Calculating Days Required:
- Total days = TotalWorkCombinedRateofWork.
- 72b24b=3 days.
- Correct Answer:
- Option 1: 3 days
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