Home
Class 10
MATHS
A boat covers 32 km upstream and 36 km d...

A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48km downstream in 9 hours. Find the speed of the boat in still water and that of the stream.

Text Solution

Verified by Experts

The correct Answer is:
10 km/h and 2 km/h
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise EXERCISE 3.1|3 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise EXERCISE 3.2|17 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos
  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos
  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55km down-stream. Determine the speed of the stream and that of the boat in still water.

Formulate the following problems as a pair of equations and hence find their solutions: Ritu can row downstream 20 km in 2 hours, and upstream 4km in 2 hours. Find her speed of rowing in still water and the speed of the current.

A motorboat whose speed is 18km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

What is the average speed of the car if it covers 200 km in 5 h?

Formulate the following problems as a pair of equations and hence find their solutions: Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

A man drives his car uniformly at 30 km/h for three hour After it he covered next 90 km distance with uniform speed of 45 km/hr. Find the average speed of car.

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Other Important Examples
  1. On comparing the ratios (a(1))/(a(2)), (b(1))/(b(2)) and (c(1))/(c(2))...

    Text Solution

    |

  2. On comparing the ratios (a(1))/(a(2)), (b(1))/(b(2)) and (c(1))/(c(2))...

    Text Solution

    |

  3. Solve the following pair of linear equations graphically: x+y=6 and ...

    Text Solution

    |

  4. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  5. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  6. Solve the following pairs of linear equations by substitution method: ...

    Text Solution

    |

  7. Find the solution of each pair of linear equations, if it exists, by s...

    Text Solution

    |

  8. Find the solution of each pair of linear equations, if it exists, by s...

    Text Solution

    |

  9. Two numbers differ by 3 and the sum of thrice the smaller number and t...

    Text Solution

    |

  10. A bag contains some coins of Rs. 5 and some coins of Rs. 2. If the tot...

    Text Solution

    |

  11. Solve by the elimination method: (x+1)/(2)+(y-1)/(3)=9 and (x+1)/(3)...

    Text Solution

    |

  12. Solve by the elimination method : ax+by=(a+b)/(2) and 3x+5y=4.

    Text Solution

    |

  13. Kavya invests total sum of Rs. 40,000. She ivests certain sum at 6% p....

    Text Solution

    |

  14. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  15. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  16. For which values of k, does the pair of linear equations kx+y=k^(2) an...

    Text Solution

    |

  17. Solve for x and y : (x, y ne 0) (2)/(x)+(3)/(y)=17, (3)/(x)+(2)/(y)...

    Text Solution

    |

  18. Solve for x and y : (x, y ne 0) (10)/(2x+y)+(3)/(2x-y)=3, (15)/(2x...

    Text Solution

    |

  19. Solve the following pair of equations : 4x+y=3xy and 8x+3y=7xy.

    Text Solution

    |

  20. A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it...

    Text Solution

    |