A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed. MCQ with Answer and Explanation
A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed.
A. 10 km/h
B. 6 km/h
C. 8 km/h
D. 12 km/h
Answer: Option C
Solution (By JKExamLibrary)
Let original speed be s. 24 / (s - 2) - 24 / s = 1 => 24(2) = s(s - 2) => 48 = s(s - 2). Solving s^2 - 2s - 48 = 0 yields (s - 8)(s + 6) = 0. Since speed must be positive, s = 8 km/h.
Two cars A and B travel from one city to another at speeds of 72 km/h and 90 km/h respectively. If car A takes 1 hour more than car B for the journey, what is the distance between the two cities?
No comments yet. Be the first to start the discussion!