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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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John is trying to get from point A to point C, which is 15 miles away directly to the northeast; however the direct road from A to C is blocked and John must take a detour. John must travel due north to point B and then drive due east to point C. How many more miles will John travel due to the detour than if he had traveled the direct 15 mile route from A to C?
  1. 1. Tha ratio of the distance going north to the distance going east is 4 to 3
  2. 2. The distance traveled north going the direct route is 12
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