A boat takes two hours to travel 8 km and back in still water. If the velocity of water 4 ${\rm{km}}{{\rm{h}}^{ - 1}}$, the time taken for going ups tream 8km and coming back is

Cannot be estimated with the information given

JEE PHYSICS MCQ: MOTION IN PLANE

1 Medium

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Application +4 | -1

A boat takes two hours to travel 8 km and back in still water. If the velocity of water 4

\mathrm{km}{\mathrm{h}^{ - 1}}

, the time taken for going ups tream 8km and coming back is

View answer and explanation

Correct option: B

2 h 40 min

Option B (2 h 40 min) is correct because it accounts for the time taken to travel upstream against the current and downstream with the current.

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\mathrm{\vec P} = \mathrm{\vec A} + \mathrm{\vec B}\,\,\mathrm{and}\,P = A + B.

\mathrm{\vec A}\,and\,\mathrm{\vec B}

0^{\circ}

90^{\circ}

\mathrm{If}\,(\mathbf{a}+3 \mathbf{b}) \cdot(7 \mathbf{a}-5 \mathbf{b})=0

(\mathbf{a}-4 \mathbf{b}) \cdot(7 \mathbf{a}-2 \mathbf{b})=0

\mathbf{a}

\mathbf{b}

\theta

\left(90^{\circ}-\theta\right)

39.2 \mathrm{~ms}^{-1}

50 \mathrm{~m}

{g}=9.8 \mathrm{~ms}^{-2}