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On Monday the escalator was not working it took tom 18 seconds to reach the top, climbing two seconds each step.By Tuesday the escalator had been repaired and tomorrow took only 12 seconds to reach the top climbing at the same rate. On Wednesday tom decided to ride the escalator without climbing at all. How long did it take to reach the top this time. |
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Answer» Time taken by tom to reach the top by climbing 2 SECOND each step = 18 seconds Time taken by tom to reach the top by excalator at same rate (2second each step) = 12 seconds To Find: Time taken by tom to reach the top without climbing at all Solution: According to question When elevator wasn't working :- Tom TOOK 18 seconds by climbing 2seconds each step Number of steps in excalator = 18×2 = 36 steps When elevator was working fine :- Tom took 12 seconds by climbing 2seconds each step(same rate). Number of steps covered by him in 1 second = Total number of steps/Time taken = 36/12 = 3 steps per second Now Tom decided to ride the escalator without climbing at all. As per our calculations tom take 3 step per second if elevator works fine. 2 steps - he take when he ride the excalator 1 step - he is moved by the excalator Time taken by tom to reach the top without climbing at all :- = Total number of steps/Number of steps excalator climb per second = 36/1 = 36 seconds Hence, time taken by tom to reach the top without climbing at all is 36 seconds. |
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