v1 Algebra, STD2 A4 2021 HSC 13 MC

The time taken to harvest a field varies inversely with the number of workers employed.

It takes 12 workers 36 hours to harvest the field.

Working at the same rate, how many hours would it take 27 workers to harvest the same field?

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`B`

Show Worked Solution

`text{Time to harvest}\ (T) prop 1/text{Number of workers (W)}`

`T=k/W`

`text(When)\ \ T=36, W=12:`

`36=k/12\ \ =>\ \ k=36 xx 12 = 432`

`text{Find}\ T\ text(when)\ \ W=27:`

`T=432/27=16\ \text{hours}`

`=> B`