In covering a distance of 30 km, Anmol takes 7 hours more than Nikhil. If Anmol doubles his speed, then he would take 8 hours less than Nikhil. Anmol’s speed is:

Solution:

Let Anmol’s speed = x km/hr
Let Nikhil’s speed = y km/hr

Distance = 30 km

According to first condition:

$ \frac{30}{x} = \frac{30}{y} + 7 $

Second condition (Anmol doubles speed):

$ \frac{30}{2x} = \frac{30}{y} - 8 $

Simplify:

(1) $ \frac{30}{x} - \frac{30}{y} = 7 $
(2) $ \frac{15}{x} - \frac{30}{y} = -8 $

Subtract (2) from (1):

$ \left(\frac{30}{x} - \frac{30}{y}\right) - \left(\frac{15}{x} - \frac{30}{y}\right) = 7 - (-8) $

$ \frac{15}{x} = 15 $

So,
$ x = 1 $

Final Answer: 1 km/hr