Quantitative Aptitude – Geometry – Triangles – Let ABC be a right-angled triangle
Quantitative Aptitude – Geometry – Triangles
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
Answer
24
Solution
As per the question from CAT 2017 – Quantitative Aptitude – Geometry – Triangles,
BC^2 = AB^2 + AC^2 = 625
BC = 25
Shortest Distance from A to hypotenuse = altitude on BC = AP
AP * BC = AB * AC
So, AP = 12
Time taken = (12/30) * 60 mins = 24 mins
Answer: 24 mins
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