The boat sails some distance downstream in 3 hours and also the distance upstream of the river in 4 hours, determine your own speed if the speed of the river flow is 3 km / h what distance the boat traveled
Let x be the boat’s own speed, then (x + 3) is its speed downstream, and (x – 3) is its speed upstream. Since the boat sailed the same distance upstream and upstream, we will compose and solve the equation:
3 (x + 3) = 4 (x – 3),
3x + 9 = 4x – 12,
3x – 4x = – 12 – 9,
– x = – 21,
x = 21. The boat’s own speed is 21 km / h.
Let’s find the distance traveled by the boat downstream:
3 (21 + 3) = 3 * 24 = 72 km.
The same distance traveled against the current, which means that the boat sailed in total:
72 * 2 = 144 km.
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