A luxury car handles a tracking route sector of 240 km. It finishes the first half segment stretch at 40 km/h and the second half sector at 60 km/h. Find the mean average speed recorded across the full route. MCQ with Answer and Explanation
A luxury car handles a tracking route sector of 240 km. It finishes the first half segment stretch at 40 km/h and the second half sector at 60 km/h. Find the mean average speed recorded across the full route.
A. 48 km/h
B. 46 km/h
C. 52 km/h
D. 50 km/h
Answer: Option A
Solution (By JKSSB Mock Tests)
Average Speed across sectors = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
A man walks from his sector quarters to a focal workshop at 4 km/h and arrives 15 minutes late. If he scales his speed to 6 km/h, he arrives 5 minutes early. Find the distance.
Explanation:
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 km/h.
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