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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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Page 22 of 29
The distance between 2 points A and B is 90km.At 9 am P and Q start at speeds of 8 and 10 resp.After every stretch of 10km travelled each of them changes his speed from 8km/hr to 10 km/hr or vice versa.

When will they cross each other??
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