Amit climbs up 5 stairs in one second.He then climb down 3 stairs in next one second.How many seconds will he take to climb 62 stairs ?
Answers
For Amit takes minimum of 58.8 seconds to climb 62 stairs.
Given data:
Amit climbs up 5 stairs in one second.
He then climbs down 3 stairs in the next second.
To find :
How many seconds will Amit takes to climb 62 stairs.
Solution :
As Amit climbs up 5 stairs in one second, and climbs down 3 stairs in the next second.
In two seconds, no.of stairs he climb up = 5-3 = 2
So, In 2 seconds, Amit climb up by 2 stairs.
Total stairs to climb = 62
Let's subtract the least number nearer to 5 which is 6 from 62, that makes the resultant even.
62 - 6 = 56.
As for climbing 2 stairs, it takes 2 seconds, to climb 56 stairs it takes 56 seconds.
In 57th second, Amit climbs 5 steps more making it 56 + 5 = 61
In 58th second, Amit drops by 3 stairs down making 61-3 = 58
In 59th second, Amit climbs by 5 stairs making it 58+5 = 63.
But, we need only 62, which means, hereby, he needs to climb only 4 stairs as there is no drop downs after that.
5 stairs = 1 sec
1 stair = 1/5 sec
To climb the last 4 stairs, he take 4 * 1/5 = 4/5 seconds = 0.8 seconds
So, Total time taken to climb exactly 62 stairs = 58 + 0.8 = 58.8 seconds.
Therefore, For Amit takes minimum of 58.8 seconds to climb 62 stairs.
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