Question
Speed of a boat in still water to speed of boat in upstream is 9:4. If the boat can travel 560 km in downstream in 5 hours, then find the time taken by the boat to cover 24 km in still water.
Solution
Let speed of boat in still water and speed of boat in upstream be ‘9x’ km/h and ‘4x’ km/h, respectively. Speed of stream = 9x – 4x = 5x km/h Speed of boat in downstream = 9x + 5x = 14x km/h So, 14x = 560/5 = 112 Or, x = 8 Speed of boat in still water = 9 × 8 = 72 km/h Desired time = 24/72 = 20 minutes
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