Question 41

Jambmaths question: 

The time taken to do a piece of work is inversely proportional to the number of men employed. If ity takes 30 men to do a  piece of work in 6days, how many men are required to do the work in 4 days

Option A: 

35

Option B: 

60

Option C: 

20

Option D: 

45

Jamb Maths Solution: 

$\begin{align}  & \text{Let the number of men be}N\text{and the time taken to be}T \\ & T\propto \frac{1}{N};\text{ }T=\frac{K}{N}\text{    }\!\!\{\!\!\text{ }K=proportionality\text{ }constant\} \\ & 6=\frac{K}{30} \\ & K=6\times 30=180 \\ & \text{When }T=4 \\ & 4=\frac{180}{N};\text{       }N=\frac{180}{4}=45 \\\end{align}$

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