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If 5 workers can build a wall in 10 days, how many days will 10 workers take to build the same wall?
5┬аdays
10┬аdays
20┬аdays
2.5┬аdays
5┬аdays
Since the number of workers is doubled, the time taken is halved due to inverse proportion.
Number of workers W1 = 5, Days D1 = 10, New workers W2 = 10
W1тАЛ├ЧD1тАЛ=W2тАЛ├ЧD2тАЛ
Since the number of workers is doubled, the time taken is halved due to inverse proportion.
Students often assume direct proportionality and multiply workers with days instead of keeping total worker-days constant.
Identify Given Data
Note the initial workers and days: W1тАЛ=5 workers, D1тАЛ=10 days.
5├Ч10=50┬аworker-days
Apply Inverse Proportion
Use the work equivalence formula: W1тАЛ├ЧD1тАЛ=W2тАЛ├ЧD2тАЛ.
5├Ч10=10├ЧD2тАЛ
Calculate Final Days
Solve for D2тАЛ to find the required time.
D2тАЛ=1050тАЛ=5
A is correct because 10 workers take 5 days to complete the work.
This inverse variation principle is widely applicable across pipe-cistern and speed-time-distance problems.
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