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escalator

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An escalator is moving downwards.P takes 30 steps to reach bottom from.top and Q takes 70 steps to reach top from bottom.Speed of P and Q are equal.How many steps are there in escalator?

1)42

2)45

3)50

4)60
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ANS -50

As the speed of esclator is constant therefore no. of steps covered by esclator  during travelling of either of P or Q remains same the only difffrence is that it would  get subtracted in case of P(think as a case of downstream) and get added in case of Q (as case of upstream) and therefore we can conclude the no. of steps covered by esclator would lie in mid i.e (70-30)/2=20 .hence total no. of steps would be (30+20 or 70 -20) =50
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Ajay walked down a descending escalator. He took 60 steps and reached the bottom in 60 sec. On another occasion he took 80 steps and reached the bottom in only 50 sec. Find the number of steps in escalator. (a) 160 (b) 180 (c) 200 (d) 240
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