Home
Class 12
MATHS
A person is standing at the edge of a sl...

A person is standing at the edge of a slow moving river which is 1 km wide. He wishes to return to the camp ground on the opposite side of the river for which he may swim to any point on the opposite bank and then walk for the rest of the distance. The campground is 1 km away from the point on the opposite bank directly across from where he starts to swim. If he swims at the rate of 2 km/hr and walks at the rate of 3 km/hr, the minimum time taken by him is approximately 0.6 hr             (b)  0.7 hr           (c)  0.8 hr       (d)  0.9 hr

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A river flows with a speed more than the maximum speed with which a person can swim in still water. He intends to cross the river by the shortest possible path (i.e., he wants to reach the point on the opposite bank which directly opposite to the starting point). Which of the following is correct ?

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45^@ , then which of the following statements is correct ?

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30^o and 45^o , respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

The speed of a man in a ponds is double that of the water ina river. The man starts swimming from a polints P on the bank. What is the angle of swimming of the man so as to directly to the opposite bank?

From a point on a bridge across a river the angles of depression of the banks on opposite side of the river are 30^o and 45^o respectively. If bridge is at the height of 30m from the banks, find the width of the river.

A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60^0dot When he retreates 20m from the bank, he finds the angle to be 30^0dot Find the height of the tree and the breadth of the river.

A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60^0dot When he retreates 20m from the bank, he finds the angle to be 30^0dot Find the height of the tree and the breadth of the river.

A swimmer wants to cross a 200 m wide river which is flowing at a speed of 2 m/s. the velocity of the swimmer with respect to the river is 1 m/s. how far from the point directly opposite to the starting point does the swimmer reach the opposite bank ?

Velocity of the boat with respect to river is 10m/s. From point A it is steered in the direction shown. Where will it reach on the opposite bank ?

A statue 8 meters high standing on the top of a tower 64 meters high, on the bank of a river, subtends at a point A on the opposite bank, directly facing the tower, the same angle as subtends at the same point A by man of height 2 meters standing at the base of the tower. Prove that the breadth of the river is 16sqrt(6) meters.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The fraction exceeding its own n^(t h) power n in N) by the maximum p...

    Text Solution

    |

  2. Tangent is drawn at the point (xi ,yi) on the curve y=f(x), which ...

    Text Solution

    |

  3. A person is standing at the edge of a slow moving river which is 1 ...

    Text Solution

    |

  4. If alpha is the only positive root of (2^(2014)-1)x^2+(2-2^(2014))x-1=...

    Text Solution

    |

  5. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

    Text Solution

    |

  6. The integral curve of the equation ((1-x^2)dy)/(dx)+x y=x is a conic, ...

    Text Solution

    |

  7. Let f (x) be a polynomial of degree 5 with leading coefficient unity s...

    Text Solution

    |

  8. If a differentiable function satisfies (x-y) f (x+y) -(x+y)f (x-y) =2 ...

    Text Solution

    |

  9. "I f"f(x)={x^3-6x^2; ifxi sr a t ion a l-11 x+6;ifxi si r r a t ion a ...

    Text Solution

    |

  10. z1a n dz2 are two complex numbers satisfying i|z1|^2z2-|z2|^2z1=z1-i z...

    Text Solution

    |

  11. If sin^2theta1+sin^2theta2+sin^2theta3=0, then which of the following ...

    Text Solution

    |

  12. If I=lambda int0^(pi/4)cos2xcos4xcos6xdx , then lambda is equal to 5 ...

    Text Solution

    |

  13. If f(x)=(x+3)/(5x^2+x-1)&g(x)=(2x+3x^2)/(20+2x-x^2) such f(x)a n dg(x...

    Text Solution

    |

  14. If Sn=sum(r=1)^n r/(1. 3. 5. 7 (2r+1)) then Sn=1/2[1-1/(1. 3. 5 (2n+1)...

    Text Solution

    |

  15. The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...

    Text Solution

    |

  16. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

    Text Solution

    |

  17. Let f(x) be a fourth differentiable function such that f(2x^(2)-1)=2xf...

    Text Solution

    |

  18. If f(x)=a x^2+b x+c such that f(p)+f(q)=0 where a!=0; a ,b ,c ,p ,q in...

    Text Solution

    |

  19. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

    Text Solution

    |

  20. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

    Text Solution

    |