A person rows a boat across a river maki...

A person rows a boat across a river making an angle of `60^@` with the downstream. Find the percentage time he would have saved, and he crossed the river in the shortest possible time.

`13.4`%

`25.5`%

`12.5`%

`20.5` %

Text Solution

Verified by Experts

The correct Answer is:

% time saved `=(L)/(V sin 60^(@))/(L)/(V sin 60^(@))=13.4` %

Topper's Solved these Questions

INTRODUCTION TO VECTORS & FORCES
VMC MODULES ENGLISH|Exercise level 2|65 Videos
INTRODUCTION TO VECTORS & FORCES
VMC MODULES ENGLISH|Exercise JEE Main ( ARCHIVE ) ( LEVEL-1)|12 Videos
INTRODUCTION TO VECTORS & FORCES
VMC MODULES ENGLISH|Exercise JEE Advanced ( ARCHIVE LEVEL-2)|12 Videos
GRAVITATION
VMC MODULES ENGLISH|Exercise JEE Advance (Archive) TRUE/FALSE|1 Videos
JEE MAIN - 5
VMC MODULES ENGLISH|Exercise PART I : PHYSICS (SECTION - 2)|5 Videos

Similar Questions

Explore conceptually related problems

A person rows a boat across a river making an anglen of 60^@ with the downstream. Find the percentage time he would have saved, ahd he crossed the river in the shortest possible time.

Two persons P and Q crosses the river starting from point A on one side to exactly opposite point B on the other bank of the river. The person P crosses the river in the shortest path. The person Q crosses the river in shortest time and walks back to point B. Velocity of river is 3 kmph and speed of each boat is 5 kmph w.r.t river. If the two persons reach the point B in the same time, then the speed of walk of Q is

The ratio of downstream drift of a person in crossing a river making same angles with downstream and upstream are respectively 2 : 1. The ratio of the speed of river u and the swimming speed of person v is:

A man can swim in still water at a speed of 4 kmph. He desires to cross a river flowing at a speed of 3 kmph in the shortest time interval. If the width of the river is 3km time taken to cross the river (in hours) and the horizontal distance travelled (in km) are respectively

A man can swim at a speed of 3 km/h in still water. He wants t cross a 500 m wide river flowing at 2 km/h. He flow at an angle of 120 with the river flow while swimming. A. Find the time he takes to cross the river. b.At what point on the opposite bank will he arrive?

The velocity of a boat in still water is 10 m/s. If water flows in the river with a velocity of 6 m/s what is the difference in times taken to cross the river in the shortest path and the shortest time. The width of the river is 80 m.

2 km wide river flowing with a rate of 5 km/hr. A man can swim in the still water with10 km/hr. He wants to cross the river along shortest path find Crossing time

Two ports, A and B, on a north-south line ar separated by a river of width D. The river flows east with speed u. A boat crosses the river starting from port A. The speed of the boat relative to the river is v. Assume v=2u Q. The boat crosses the river from A to the other side in shortest possible time, then how far is the boat from the port B after crossing the river

To cross the river in shortest distance, a swimmer should swimming an angle theta with the upsteram. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance. [Asume that the speed of swimmer in still water is greater than the speed of river flow]

Velocity of boat in still water is 13 m/s. If water flows ina river with a velocity of 5 m/s. What is the difference in times taken by him to cross the river in the shortest path and in the shortest time. If the width of the river is 10 m.

VMC MODULES ENGLISH-INTRODUCTION TO VECTORS & FORCES -level 1

A river of width 80m is flowing at 6 m/s. A motorboat crosses the rive...
Text Solution
|
Find theta in the given situation so that the swimmer directly lands...
Text Solution
|
A person rows a boat across a river making an angle of 60^@ with the d...
Text Solution
|
A man is walking with 3 m//s, due east. Rain is falling vetically down...
Text Solution
|
A car is moving on horizontal ground with a velocity vm s^(-1) with ...
Text Solution
|
An aeroplane pilot wishes to fly due west A wind of 100 km h^-1 is blo...
Text Solution
|
A train 100 m long travelling at 40 ms^(-1) starts overtaking another ...
Text Solution
|
The diagram shows a train moving with constant velocity and a car movi...
Text Solution
|
A bird is flying towards north with a velocity 40 km h^-1 and a train ...
Text Solution
|
Given vectoroverset(rarr)A=2 hat I +3hatj , the angle between overset...
Text Solution
|
If the vectors 2 hati +3 hat j +chatj and -3hat i+6hatk are orthogo...
Text Solution
|
Consider a F = 4hati -3hatj . Another vector perpendicular to F is
Text Solution
|
The angle between the two vector -2hati+3hatj+hatk and hati+2hatj-4hat...
Text Solution
|
For any two vectors barA and barB if barA.barB=|bar AxxbarB|, the ma...
Text Solution
|
The angle between vector (overset(rarr)Axxoverset(rarr)B) and (overset...
Text Solution
|
what is the angle between (overset(rarr)P+overset(rarr)Q) and (overset...
Text Solution
|
Which of the following is the unit vector perrpendicular to A and B?
Text Solution
|
A vector A points vertically upward and B points towards north.The vec...
Text Solution
|
Two vectors P=2hat I +bhat j +2hat k and Q=hat i+hat j+hat k will be ...
Text Solution
|
What is the unit vector perpendicular to the following Vector 2hat(i)+...
Text Solution
|