A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top?
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Step-by-step explanation:
1st day height achieved 2km
1st night -1km
effective climb on beginning of day 2 is 1km
2nd day height achieved 3km
2nd night -1km
effective climb on beginning of day 3 is 2km
so on….
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.
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effective climb on beginning of day 98 is 97km
98th day height achieved 99km
98th night -1km
effective climb on beginning of day 99 is 98km
99th day height achieved is 100km
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