A car covers a distance of 450 km at a certain speed. If the speed is increased by 5 km/h, it takes 1 hour less to cover the same distance. Find the original speed of the car. MCQ with Answer and Explanation
A car covers a distance of 450 km at a certain speed. If the speed is increased by 5 km/h, it takes 1 hour less to cover the same distance. Find the original speed of the car.
A. 40 km/h
B. 45 km/h
C. 50 km/h
D. 55 km/h
Answer: Option B
Solution (By JKExamLibrary)
Let original speed be s. 450/s - 450/(s+5) = 1 => 450(s + 5 - s) = s(s + 5) => 2250 = s(s + 5). Solving s^2 + 5s - 2250 = 0 gives (s - 45)(s + 50) = 0. Since speed is positive, s = 45 km/h.
A transport truck covers a route track of 480 km in 8 hours. How much time will it require to clear a distance path of 360 km given it tracks at the same speed?
A cross-country runner covers the sides of an equilateral triangular course at speeds of 8 km/h, 12 km/h and 24 km/h respectively. Find his average speed for the whole round.
Explanation:
Let each side of the triangular course be 24 km. Total perimeter = 3 * 24 = 72 km. Total time taken = 24/8 + 24/12 + 24/24 = 3 + 2 + 1 = 6 hours. Average speed = 72 / 6 = 12 km/h.
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