You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relative Velocity in 2D

A boat that h...

Question

A boat that has a speed of $5 k m p h$ in still water crosses a river of width $1 k m$ along the shortest possible path in $15$ minutes. The velocity of the river water in $k m p h$ is

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 / 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $3$

$t = \frac{d}{V_{b}}$
$\Rightarrow V_{b} = \frac{1}{\frac{15}{60}} = 4 k m p h$
$V_{b} = \sqrt{V_{b r}^{2} - V_{r}^{2}}$
$\Rightarrow V_{r} = \sqrt{5^{2} - 4^{2}} = 3 k m p h$

Suggest Corrections

Similar questions

Q. A boat that has a speed of

5 k m p h

in still water crosses a river of width

1 k m

along the shortest possible path in

15

minutes. The velocity of the river water in

k m p h

A boat which has a speed of $5 k m / h r$ in still water, crosses a river of width $1 k m$ along the shortest possible path in $15$ minutes. The velocity of the river water is

Q. A boat which has a speed of

5 k m / h

in still water crosses a river of width

1 k m

along the shortest possible path in

15 m i n u t e s

. The velocity of the river water in

k m / h

is:

Q. A boat, which has a speed of

5 k m / h

in still water, crosses a river of width

1 k m

along the shortest possible path in

15 minutes

. What is the magnitude of velocity of the river water?

Q. A boat which has a speed of

5 k m / h

in still waters crosses a river of width

1 k m

along the shortest possible path in

15 m i n u t e s

. The speed of the river in

k m / h

Join BYJU'S Learning Program

A boat that has a speed of 5 kmph in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in kmph is

The correct option is B 3 t=dVb ⇒Vb=11560=4 kmph Vb=√V2br−V2r ⇒Vr=√52−42=3 kmph

A boat that has a speed of $5 k m p h$ in still water crosses a river of width $1 k m$ along the shortest possible path in $15$ minutes. The velocity of the river water in $k m p h$ is

The correct option is B $3$

$t = \frac{d}{V_{b}}$
$\Rightarrow V_{b} = \frac{1}{\frac{15}{60}} = 4 k m p h$
$V_{b} = \sqrt{V_{b r}^{2} - V_{r}^{2}}$
$\Rightarrow V_{r} = \sqrt{5^{2} - 4^{2}} = 3 k m p h$