A Man Can Swim At A Speed Of 3 Km/hr In Still Water. He Wants To Cross A 500 M Wide River Flowing At 2 Km/hr. He Keeps Himself Always At Angle Of 120o With The River Flow When Swimming Find The Time He Takes To Cross The River.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

A man can swim at a speed of 3 km/hr in still water. He wants to cross a 500 m wide river flowing at 2 km/hr. He keeps himself always at angle of 120o with the river flow when swimming find the time he takes to cross the river.

None of these

medium

Solution

Correct option is

Here,

V_r1g = velocity of the river with respect to the ground

V_m1r = velocity of the man with respect to the river

V_m1g = velocity of the man with respect to the ground

We have,

Hence, the velocity with respected to ground is along the AC. Taking y components in eq. 1.

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

A man wants to reach point B on the opposite bank of a river flowing at a speed. What minimum speed relative to water should the man have so that he can reach point B. In which direction should he swim?

medium View solution

Q2

A train is moving eastwards with a velocity of 10 m/sec. On a parallel track another train passes with a velocity 15 m/sec eastwards. To the passengers in the second train the first train appears to be moving with a velocity.

easy View solution

Q3

A train is moving southwards at a speed of 30 ms^–1. A monkey is running northwards on the roof of the train with a speed of 5ms^–1. What is the velocity of the monkey as obserced by a person standing on the ground?

easy View solution

Q4

A jet airplane traveling from east to west at a speed of 500 kmh^–1 ejects out gases of combustion at a speed of 1500 kmh^–1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?

easy View solution

Q5

A police van moving on a highway with a speed of 36 km h^–1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 108 km h^–1. If the muzzle speed of the bullet is 140 ms^–1, with what speed will the bullet hit the thief’s car?

easy View solution