A man started from home at 14 30 hours and drove to village arriving there when the village clock in...........

Logical Reasoning and Analytical Ability (CSP) Clock

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

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10 minutes slow

5 minutes slow

10 minutes fast

5 minutes fast

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Explanation:

Total time taken by the man to come back home = 16 – 14.5 = 1.5 hours = 90 minutes
Out of which he stayed in the village for 25 minutes.
So, his total travelling time = 90 – 25 = 65 minutes
The return route was 1.25 times the initial route. So, time taken must have increased by 25% too. So, if initial time was 100 units, now it must be 125 units.
But it is also given that while returning he drove twice as fast. So, time taken must have been halved. So, time taken while returning back = 125/2 = 62.5 units
So, 100 + 62.5 = 65 minutes
Or 162.5 units = 65 minutes
So, 100 units = (65/162.5) × 100 = 40 minutes
So, the man took 40 minutes to reach to the village.
So, the actual time at that moment = 14:30 + 40 minutes = 15:10 hours
It’s pretty evident that the village clock is 15:15 – 15:10 = 5 minutes fast

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