By how much time does winner wins the race?

46

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47

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48

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49

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Solution

The correct option is A $47$
Time taken by tortoise $t_{t} = \frac{d}{v} = \frac{1000}{0.2} = 5000 s$
For rabbit :
Time taken to cover first 200 meters, $t_{1} = \frac{200}{2} = 100 s$
Time taken for nap $t_{2} = 1.3 h r = 1.3 \times 3600 = 4680 s$
Time taken to complete 800 meters $t_{3} = \frac{800}{3} = 266.7 s$
Total time taken by rabbit $t_{b} = 100 + 4680 + 266.7 = 5046.7 s$
Since tortoise takes less time to finish the race, so tortoise wins the race.
Time difference $Δ t = t_{b} - t_{t} = 5046.7 - 5000 = 46.7 s \approx 47 s$

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