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Mr. Shah decided to walk down the escalator of a tube
station. He found that if he walks down 26 steps, he
requires 30seconds toreach the bottom. However, if he steps
down 34 stairshe would onlyrequire 18 seconds to get to the
bottom. If the timeis measured fromthe moment the top step
begins to descend to thetime he steps offthe last step at
the bottom, find out the height ofthe stair way in steps?

Question Posted / arkean

Answers were Sorted based on User's Feedback



Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 s..

Answer / pankaj kumar garg

Let the speed of escalator be x steps/sec

then total steps in escalator is 26 + 30x (since the
escalator covers 30x steps while the person covers 26 steps)

Similarly the in the second case the total no of steps is 34
+ 18x

solving both .. 26 + 30x = 34 + 18x

12x = 8 , x = 2/3 therefore steps is 26 + 30*2/3 = 46 steps

Is This Answer Correct ?    71 Yes 4 No

Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 s..

Answer / siva

If he walks 26 steps , he requires 30 sec to reach bottom. If he walks 34 steps he requires 18 sec to reach bottom.
So walking (34-26)=8 steps he requires (30-18)= 12 secs.
In one sec he walks ( 8/12)= 2/3 steps
34 steps requires 18 sec
so 2/3* 18 =12
In remaining 18 secs he walks 12 steps 34+12 = 46 steps

Is This Answer Correct ?    1 Yes 0 No

Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 s..

Answer / nils

Steps - 26 => 30Sec
Steps - 34 => 18 Sec
=> 8 steps -> 12 sec ....(1)

=> 26 steps -> 39 sec
& 34 steps ->51 sec

So total time without walking it will be 39 + 30 = 51+18
=69 sec

so steps = 48 ....from (1)

Is This Answer Correct ?    7 Yes 33 No

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