reena climbs up 5 stairs every second and then climbs down two stairs over the next second. how many seconds will she take to climb 60 stairs
Answers
Answer:
39 seconds
Step-by-step explanation:
In 2 seconds she climbs = 3 stairs
She climbs 54 stairs = (54/3)×2 seconds
= 36 seconds
In 37 seconds she will climb = 59 stairs
In 38 seconds she will climb = 57 stairs
In 39 seconds she will climb = 62 stairs
Which means she will cross 60th stair in 39 seconds.
So, she will take 39 seconds to climb 60 stairs.
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Given data:
Reena climbs up 5 stairs Every second and then climb down 2 stairs over the next second.
To find:
The total time taken by Reena to climb 60 stairs.
Solution:
As for every second she climbs 5 stairs and in the next second she climbs down 2 stairs,
Total stairs she climbs in 2 seconds = 5 - 2 = 3 stairs.
Total number of steps climbed by Reena = 60 stairs
Therefore, time take by Reena to climb 60 stairs
= (60/3)(2) [As she takes 2 seconds to climb 3 stairs]
= 40 seconds
But, at 39th second, we know that she climbs 5 stairs making it 62, which means, she'll be out of the complete 60 stairs making it no need to climb down further.
So, Time taken by Reena to climb 60 stairs = 40 – 1 = 39 seconds
Therefore, the total minimum time taken by Reena to climb 60 stairs is 39 seconds.
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