Home
Class 10
MATHS
Points A and B are 70 km. apart on a ...

Points `A` and `B` are 70 km. apart on a highway. A car starts from `A` and another car starts from `B` simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other, they meet in one hour. Find the speed of the two cars.

Text Solution

Verified by Experts

The correct Answer is:
40 km/hr, 30 km/hr

Let the speed of the car from A be x kmph and that of the car from B be y kmph.
Then, ` 7x - 7y = 70 rArr x - y = 10 " " `… (i)
And, ` x + y = 70." " `… (ii)
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3F|21 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|27 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3D|31 Videos
  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos
  • MEAN,MEDAN,MODE OF GROUPED,DATA CUMULATIVE FREQUENCY GRAPH AND OGIVE

    RS AGGARWAL|Exercise Test Yourself|18 Videos

Similar Questions

Explore conceptually related problems

Places A and B are 160 km apart on a highway. One car starts from A and another from B at the same time. If they travel in the same direction, they meet in 8 hours. But, if they travel towards each other, they meet in 2 hours. Find the speed of each car.

Places A and B are 100km apart on a highway. One car starts from A and another from b at the same time.If the cars travel in the same direction at different speeds,they meet in 5 hours.If they travel towards each other,they meet in 1 hour.What are the speeds of the two cars

Places A and B are 100km apart on a highway. One car starts from A and another from b at the same time.If the cars travel in the same direction at different speeds,they meet in 5 hours.If they travel towards each other,they meet in 1 hour.What are the speeds of the two cars

places A and B are 80km apart from each other on a highway.A car starts from A and other from B at the same time.If they move in the same direction,they meet in 8 hours and if they move in opposite directions,they meet in 1 hour and 20 minutes.Find the speed of the cars.

Two places 'A' and 'B' are 120 km apart from each other on a highway .A car starts from 'A' and another from 'B' at the same time . If they move in the same direction , they meet in 6 hours and it they move in opposite direction , they meet in 1 hour and 12 minutes .Find the speed of each car .

Point A and B are 90km apart from each other on a highway.A car starts from A and another from B at the same time.If they go in the same direction they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. Find their speeds.

Two laces A and B are 80km apart from each other on a highway.A car starts from A and another form B at the same time.If they move in the same direction they meet each other in 8 hours.If they move in opposite directions towards each other,they meet in 1 hour 20 minutes.Determine the speeds of the cars.

RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3E
  1. The monthly incomes of A and B are in the ratio 5 : 4 and their mont...

    Text Solution

    |

  2. A man sold a chair and a table together for Rs.1,520 thereby making a ...

    Text Solution

    |

  3. Points A and B are 70 km. apart on a highway. A car starts from A a...

    Text Solution

    |

  4. A train covered a certain distance at a uniform speed. If the trai...

    Text Solution

    |

  5. Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 3...

    Text Solution

    |

  6. Places A and B are 160 km apart on a highway. One car starts from A ...

    Text Solution

    |

  7. A sailor goes 8 km downstream in 40 minutes and returns in 1 hours....

    Text Solution

    |

  8. A boat goes 12 km upstream and 40 km downstream in 8 hours. It can g...

    Text Solution

    |

  9. 2 women and 5 men can together finish an embroidery work in 4 days, wh...

    Text Solution

    |

  10. The lenght of a room exceeds its breadth by 3 meters. If the lenght...

    Text Solution

    |

  11. The area of rectangle gets reduced by 8m^(2), when its length is r...

    Text Solution

    |

  12. The area of a rectangle gets reduced by 67 square meters, when its l...

    Text Solution

    |

  13. A railways half ticket costs half the full fare and the resrvation ch...

    Text Solution

    |

  14. Five years hence, fathers age will be three times the age of his so...

    Text Solution

    |

  15. Two years ago, a father was five times as old as his son. Two years ...

    Text Solution

    |

  16. If twice the sons age in years is added to the fathers age, the sum ...

    Text Solution

    |

  17. The present age of a woman is 3 years more than three times the age...

    Text Solution

    |

  18. On selling a tea-set 5% loss and a lemon-set at 15% gain, a crockery ...

    Text Solution

    |

  19. A lending library has a fixed charge for the first three days and a...

    Text Solution

    |

  20. A chemist has one solution containing 50% acid and a second one contai...

    Text Solution

    |