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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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A train having 15 bogies develops a technical snag in the carriage connecting its 5th and 6th bogies from the engine (i.e. front). The guard at the rear (i.e. the last bogie) notices the snag and immediately starts running towards it at a speed of 14 mps on the top of the roof. After some time, the driver’s assistant notices the fire and starts running towards it on the top of the roof at a speed of 10 mps. The length of each bogie is 35 m and the distance between any two bogies is negligible. If the train is running at a speed of 16 mps, how much time after the guard did the assistant notice the snag, if it is known that both of them reached the snag at the same time.

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