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A boat travels at 4 km in 20 min with the current. The return trip takes 24 min. Find the speed of the current and the speed of the boat in still water?

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The Brainliest Answer!

'y' be the speed of the current

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-the boat travels 4km in 20min with the current

x + y = 4km/20min

x + y = 0.2km/min ------equation 1

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-the boat took 24min of travel against the current

x - y = 4km/24min

x - y = 0.1667km/min ------equation 2

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Add equations 1 and 2

x + y = 0.2

+ x - y = 0.1667

2x = 0.3667

x = 0.18333 km/min

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substitute x=1.08333 to equation 1

x + y = 0.2

y = 0.2 - x

y = 0.2 - 0.18333

y = 0.01667km/min

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Therefore the speed of the boat is 183.33 m/min and the speed of the current is 16.67 m/min.