A boat goes 8 km upstream and then returns. Total time taken is 4 hours 16 minutes. Velocity of the current is 1 km / hour. Actual velocity of the boat is
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Let the velocity of the boat be x
time taken for upstream motion =
time taken for downstream motion =
Total time =
[tex]\frac{8}{x-1}+\frac{8}{x+1} = \frac{16x}{x^{2}-1} = 4 \frac{16}{60} = \frac{64}{15} \\ \\ cross\: multiplying \\ \\ 240x = 64x^{2}-64 \implies 64x^{2}-240x-64 = 0 \\ \\ x = 4 km/h[/tex]
time taken for upstream motion =
time taken for downstream motion =
Total time =
[tex]\frac{8}{x-1}+\frac{8}{x+1} = \frac{16x}{x^{2}-1} = 4 \frac{16}{60} = \frac{64}{15} \\ \\ cross\: multiplying \\ \\ 240x = 64x^{2}-64 \implies 64x^{2}-240x-64 = 0 \\ \\ x = 4 km/h[/tex]
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