Math, asked by sj4102990, 7 months ago

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

Answered by poojan
21

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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