A cargo container vehicle spans 450 meters in exactly 30 seconds. Find its baseline speed index in km/h. MCQ with Answer and Explanation
Question
Report Error
Discuss this Question (0)
Practice More Time Speed and Distance Questions
Question #1
Report Error
A man can row 9 km/h in still water. He rows to a place 24 km away and back in a total of 6 hours. Find the speed of the river current.
Correct Answer: Option A
Explanation:
Let speed of current be c. 24 / (9 + c) + 24 / (9 - c) = 6. Dividing by 6: 4 / (9 + c) + 4 / (9 - c) = 1 => 4(9 - c + 9 + c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.
Let speed of current be c. 24 / (9 + c) + 24 / (9 - c) = 6. Dividing by 6: 4 / (9 + c) + 4 / (9 - c) = 1 => 4(9 - c + 9 + c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
Report Error
A person can row 10 km/h in still water. If it takes him exactly twice as long to row upstream as to row downstream over the same stretch, find the speed of the current.
Correct Answer: Option C
Explanation:
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
Report Error
A regular passenger bus tracks a route divided into three equal segments. It runs the segments at 20 km/h, 30 km/h, and 60 km/h respectively. Find the average speed across the whole route.
Correct Answer: Option D
Explanation:
Let each segment distance be 60 km. Total distance = 3 * 60 = 180 km. Total time = 60/20 + 60/30 + 60/60 = 3 + 2 + 1 = 6 hours. Average speed = 180 / 6 = 30 km/h.
Let each segment distance be 60 km. Total distance = 3 * 60 = 180 km. Total time = 60/20 + 60/30 + 60/60 = 3 + 2 + 1 = 6 hours. Average speed = 180 / 6 = 30 km/h.
This question belongs to:
Maths
Time Speed and Distance
No comments yet. Be the first to start the discussion!