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A woman starts from her home at $9.00 \mathrm{am}$, walks with a speed $5 \mathrm{~km} / \mathrm{h}$ on straight road up to her office $2.5 \mathrm{~km}$ away, stays at the office up to $5.00 \mathrm{pm}$ and returns home by an auto with a speed of $25 \mathrm{~km} / \mathrm{h}$. Choose suitable scales and plot the $x-t$ graph of her motion.
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Time taken in reaching office $=$ distance/ speed $=2.5 / 5$ $=0.5 \mathrm{hr}$.
Time taken in returning from office $=2.5 / 25$ $=0.1 \mathrm{hr} .=6$ minutes
It means the woman reaches the office at $9.30 \mathrm{am}$ and returns home at $5.06 \mathrm{pm}$. The $x-t$ graph of this motion will be as shown below:

Time taken in returning from office $=2.5 / 25$ $=0.1 \mathrm{hr} .=6$ minutes
It means the woman reaches the office at $9.30 \mathrm{am}$ and returns home at $5.06 \mathrm{pm}$. The $x-t$ graph of this motion will be as shown below:

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