Home
Class 11
MATHS
25 trees are plants in a straight line 5...

25 trees are plants in a straight line 5 metre apart from each other. To water them the gardener must bring water for each tree separately from a well 10 metre from the first tree in line with the trees. How far will he move in order to water all the trees beginning with the first if he starts from the well.

Text Solution

Verified by Experts

3370 meter
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

A particle is moving along a straight line OX. The displacement (x) from the point o and the time (t) taken are related as x = 40 +12t- t^(3) , where x is in metre and t in second. How far would the particle move before coming to rest ?

Which contributes most to the transport of water from the soil to the leaves of a tree ?

A palm tree stands on the bank of a river. A post is fixed I the earth on the other bank just opposite to the palm tree. On moving 7sqrt3 metres from the post laong the bank, it is found the tree makes an angle of 60^2 at that point with respect to this bank. Find the width of the river.

Two particles start their journey at the same time from the same point following two straight lines inclined with each other at an angle theta . One moves with a uniform velocity u and other, starting from rest, moves with an acceleration a. show that the relative velocity between them will be minimum after a time u cos theta//a and its value is u sin theta .

A palm tree stands on the bank of a river. A post is fixed in the earth on the other bank just opposite to the palm tree. On moving 7sqrt(3) metres from the post along the bank, it is found that the tree makes an angle of 60^(@) at that point with respect to this bank. Find the width of the river.

In a bucket and ball race, a bucket is placed at the starting point, which is 5 m from the first ball, and the other balls are placed 3 m apart in a straight line. There are ten balls in the line. A competitor starts from the bucket, picks up the nearest ball, runs back with it, drops it in the bucket, runs back to pick up the next ball, runs to the bucket to drop it in, and she continues in the same way until all the balls are in the bucket. What is the total distance the competitor has to run? (Hint: To pick up the first ball and the second ball, the total distance (in metres) run by a competitor is 2 x 5 + 2 x (5+3)]

A 10 kg boy standing on a 40 kg boat floating on water is 20 m from the shore of the river. If the boy moves 8 m on the boat towards the shore, then how far is he from the shore.(Assume there is no friction between water and boat)?

A particle starts from the origin and moves along a straight line. If the velocity of the particle at time t seconds be 10t cm/s, find the distance traversed during first 4 seconds after the start.

The bottom of a light house and bottom of the mast of two ships are on the same straight line and the angles of depression from the light house at the bottom of mast of two ships are 60^(@) and 30^(@) respectively. If the distance of the points at the bottom of the light house and the bottom of the mast of first ship is 150 metres, calculate how far will the mast of the other ship from the light house be and what will the height of light house be.

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If a, b, c are in HP and if ((a + b)/(2a - b)) + ((c + b)/(2c - b)) gt...

    Text Solution

    |

  2. If alpha1 , alpha2, ......, alphan are in A.P, whose common difference...

    Text Solution

    |

  3. 25 trees are plants in a straight line 5 metre apart from each other. ...

    Text Solution

    |

  4. The nth term of a series is given by tn = (n^5 + n^5)/(n^4 + n^2 + 1) ...

    Text Solution

    |

  5. If a1. a2 ....... an are positive and (n - 1) s = a1 + a2 +.....+an th...

    Text Solution

    |

  6. Find the sum to n terms of the series 1/(1 + 1^2 + 1^4) + 2/(1 + 2^2...

    Text Solution

    |

  7. Evaluate , S =sum(n = 0)^infty 2^n/(a^(2^n) + 1) (where a gt 1)

    Text Solution

    |

  8. Evaluate, sum(i = 0)^iinfty sum(j = 0)^infty sum(k = 0)^infty 1/(3^i c...

    Text Solution

    |

  9. If a, b, c, d are four distinct numbers in A.P. , show that 1/a + 1/d ...

    Text Solution

    |

  10. Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...

    Text Solution

    |

  11. Let the harmonic mean of two positive real numbers a and b be 4. If q ...

    Text Solution

    |

  12. Suppose that all the terms of an arithmetic progression (A.P) are natu...

    Text Solution

    |

  13. The sum of first 9 terms of the series 1^3/1 + (1^3 + 2^3)/(1 + 3) + (...

    Text Solution

    |

  14. If m is the A.M. of two distinct real number l and n(l , n gt 1) and G...

    Text Solution

    |

  15. If sin^-1 ( x-x^2/2 + x^3/4 - x^4/8 +....) = pi/6 where absx lt 2 then...

    Text Solution

    |

  16. Let d(n) denotes the number of divisors of n including 1 and itself. T...

    Text Solution

    |

  17. Let a, b , c be positive integers such that b/a is an integer. if a, b...

    Text Solution

    |

  18. If (10)^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7+..+10(11)^9 = k(10)^9 then...

    Text Solution

    |

  19. Three positive numbers from an increasing G.P. If the middle term in t...

    Text Solution

    |

  20. Let f(x) = x + 1/2 , then the number of real values of x for which the...

    Text Solution

    |