When Geeta increases her speed from 12km/hr to 20km/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.
Explanation:
Let the times taken at 12 kmph is t hours, hence the time taken at 20 kmph is (t - 1) hours.
⇒ Distance = 12 × t = 20 × (t - 1) ⇒ 12t = 20t - 20 ⇒ t = 2.5 hours.
∴ Distance = 12 × 2.5 = 30 kms.
Hence, 30.
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