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Time Speed and Distance, Work, Alligations & Mixtures Quantitative

Katrina
walks down an up-escalator and counts 150 steps. Priyanka walks up the
same escalator and counts 75 steps. Katrina takes three times as many
steps in a given time as Priyanka. How many steps are visible on the
escalator?
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Two motorcyclists, Ajay and Vijay, start simultaneously from a point S on an oval track and drive around the track in the same direction, with speeds of 29 km/hr and 19 km/hr resp. Every time Ajay overtakes Vijay (anywhere on the track), both of them decrease their respective speeds by 1 km/hr. If the length of the track is 1 km, how many times do they meet at the starting point before Vijay comes to rest?
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