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Sequential Random Questions
General Education
Topic: Plane Geometry
Difficulty Rating:
Two buses leave the same station at 8:00 pm. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many kilometers apart are the buses at 10 pm?
a) 140 km
b) 100 km
c) 70 km
d) 50 km
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Rationale:
This rationale was generated by an AI
The correct answer is b] 100 km. The buses travel for 2 hours. Using the Pythagorean theorem: \( \sqrt{(30 \times 2)^2 + (40 \times 2)^2}= \sqrt{60^2 + 80^2} = \sqrt{3600 + 6400} = \sqrt{10000} = 100 \).