Question

# A tap can fill a tank of $500litres$ in $3hours30minutes$. In how much time will it fill $one-fifth$ of the tank?

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Solution

## Step 1. One-fifth of $500litres$ of tank $=\frac{1}{5}x500=100litres$Step 2. Time taken by the tap o fill $500litres$ $=3hours30min=3.5hours\left[30min=0.5hour\right]$ Therefore time taken by the tap to fill $1litres$ $=\frac{3.5}{500}hours$Step 3. Time taken by the tap to fill $100litres$ $=\frac{3.5}{500}x100$ $=\frac{3.5}{5}\phantom{\rule{0ex}{0ex}}=0.7hour\phantom{\rule{0ex}{0ex}}=0.7x60\left[As1hour=60min\right]\phantom{\rule{0ex}{0ex}}=42minutes$Hence time taken by tap to fill $one-fifth$ of the tank is $42minutes$

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