CAT 2017 Geometry & Mensuration Question (Medium)

Question

Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is

Accepted Answer

Here s the quick step-by-step 1. Since A is 90 , the hypotenuse is km. 2. The shortest path from A to line BC is the perpendicular distance altitude from A to BC h BC 25 12 . 3. Time hours hours minutes. Answer 24

CAT 2017

Quantitative

Geometry & Mensuration

Medium

Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is:

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