Q3 of 37 Page 195

A taxi of Bipin uncle travels 14 km path in 25 minute. Let us calculate by applying theory of variation how much path he will go in 5 hours by driving taxi with same speed.

Given:x1 = 14km and t1 = 25min.

Let the distance cover = x


Time taken = t


2nd time t2 = 5hrs = 5× 60 = 300min.


2nd distance = x2



As speed is constant,


So, x ∝ t



⇒ 25 × x2 = 14 × 300



⇒ x2 = 14× 12


⇒ x2 = 168 km


Hence it will cover 168km in 300min or 5hrs.


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