In a kilometre race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometre is.

Solution (By Examveda Team)

Let the time taken by A to cover 1 km = $$x$$ seconds
Time taken by B and C = $$x$$ + 30 seconds and $$x$$ + 45 seconds

$$\eqalign{ & \frac{x}{{x + 45}} = \frac{{41}}{{50}} \cr & 50x = 41x + 1845 \cr & x = 205{\text{ seconds}} \cr} $$