A man started from home at 14:30 hours and drove to village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length 1.25 times the first route at a rate twice as fast reaching home at 16:00 hours. As compared to the clock at home, the village clock is

Total time taken by the man to come back home = 14:30 to 16:00 = 90 minutes

now subtract time for which he stayed in the village ie 25 minutes.
therefore, total travelling time = 90 – 25 = 65 minutes
using, time speed distance formula, total time t1 + t2 = (distance 1/speed 1) + (distance 2/speed 2)

65 = d/s + 1.25d/2s
solving we get, d/s = 65×2/3.25 = 40
So, the man took 40 minutes to reach to the village.
So, the correct time = 14:30 + 40 minutes = 15:10 hours

Therefore, the village clock is 15:15 – 15:10 = 5 minutes fast.