Speed of a boat in still water to speed of boat in upstream is 13:10. If the boat can travel 320 km in downstream in 5 hours, then find the time taken by the boat to cover 13 km in still water.
Let speed of boat in still water and speed of boat in upstream be ‘13x’ km/h and ‘10x’ km/h, respectively. Speed of stream = 13x – 10x = 3x km/h Speed of boat in downstream = 13x + 3x = 16x km/h So, 16x = 320/5 = 64 Or, x = 4 Speed of boat in still water = 13 × 4 = 52 km/h Desired time = 13/52 = 15 minutes
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