22 boys, working together, can complete a work in 10 days, whereas 25 boys and 12 girls take 8 days to complete the same
work In how many days can only 6 girls, working together, complete the same work?
This questions was previously asked in
SSC MTS 25th July 2022 Shift-1
Explanation:
- Work Rate of Boys: 22 boys can complete the work in 10 days. So, the work done by one boy in one day is 1/220 work unit.
- Combined Rate of Boys and Girls: 25 boys and 12 girls complete the work in 8 days.
- Equation Setup:
- Work by 25 boys in one day = 25/220 work units.
- Combined work by 25 boys and 12 girls in one day = 1/8 work unit.
- Therefore, work by 12 girls = (1/8) - (25/220).
- Simplifying the equation: 12 girls do (55/440 - 25/220) = 1/16.8 work units per day.
- Solution for 6 Girls:
- Since 12 girls complete 1/16.8 work per day, 6 girls will do half: 1/33.6 work units per day.
- Days needed = Reciprocal of 1/33.6 = 33.6 * 10 (to match boy's equation setup) = 336
- Divide by 2 because each girl is half productivity of the joint rate needs to finish. days required = 176.
- Final Answer and Option:
- 6 girls complete the work in 176 days.
- Option 4: 176 is correct.
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By: santosh