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. MCQ with Answer and Explanation
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.
A. 4.00 km/h
B. 3.33 km/h
C. 3.03 km/h
D. 3.66 km/h
Answer: Option B
Solution (By JKExamLibrary)
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.
A worker handles a total factory delivery run of 160 km. He maps the first 60 km section at 30 km/h and the final 100 km segment section at 50 km/h. Find the mean average speed recorded across the full delivery run.
Explanation:
Total distance = 160 km. Time for section 1 = 60 / 30 = 2 hours. Time for section 2 = 100 / 50 = 2 hours. Total duration time = 4 hours. Average speed across run = 160 / 4 = 40 km/h.
Two trains 110 meters and 90 meters long are running in opposite directions at speeds of 36 km/h and 54 km/h respectively. In what time will they pass each other completely?
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