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When Geeta increases her speed from 12 km/hr to 20 km/hr, she takes one hour less than the usual time to cover the distance between her home and office. The distance between her home and office is________km.
Correct Answer: 30
Let the time taken by Geeta usually be $$t$$ hours.
Now, when Geeta is walking at a speed of 12 km/hr, time taken = $$t$$ hours.
So, Distance covered =$$12t$$ km
Also, when Geeta is walking at a speed of 20 km/hr, time taken = $$(t-1)$$ hours.
So, Distance covered = $$20\cdot(t-1)$$ km
Now, distance covered in both the cases is same.
So, $$12\cdot t=20\cdot(t-1)$$
or, $$8\cdot t=20$$
or, $$t=2.5$$ hours
So, distance between her home and office is $$12\times\ 2.5=30$$ km
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