Home
Class 11
PHYSICS
Two trains moving mutually opposite with...

Two trains moving mutually opposite with some speed on parallel tracks. If speed of wind parallel to truck is u. If the ratio of relative velocities of trains with respect to wind is 1:2, then find the same speed of trains.

A

3u

B

2u

C

5u

D

4u

Text Solution

Verified by Experts

The correct Answer is:
A
Suppose speed of each train is x.
Speed of wind is u.
Relative velocity of train w.r.t. wind is `x-u` when it is in direction of wind and relative velocity is `x +u.` When it is opposite to wind.
`therefore` Acc. To given condition,
`(x-u) /(x +u) = 1/2 `
`therefore 2x -2 i = x + u`
`therefore x =3u`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise SECTION-E|71 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION -C)|3 Videos

  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 8 (Match Type questions)|5 Videos

Similar Questions

Explore conceptually related problems

Two trains cross each other in opposite direction with velocity 72 km/h. The magnitude of relative velocity of one train with respect to the other is ......

Two trains A and B 100 m and 60 m long are moving in opposite direction on parallel tracks. The velocity of the shorter train is 3 times that of the longer one. If the trains take 4s to cross each other, the velocities of the trains are

Two trains each of length 50m. are running with constant speeds on parallel tracks. While moving in same direction one over takes the other in 40 seconds and while moving in opposite direction on ecrosses the other in 20 seonds. The speeds of trains will be:-

A train moves in north direction with a speed of 54 km/hr. and a monkey running on the roof of the train, against its motion with a velocity of 18km/hr. with respect to the train, then the velocity of monkey as observed by a man standing on the ground:-

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangaluru (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.

Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which two cars are stopped from that instant.

Two parallel rail tracks are in north-south direction. Train A moves towards north with a speed of 72 kmh^(-1) and train B moves towards south with a speed of 108 kmh^(-1) What is the (a) velocity of B with respect to A ?, (b) velocity of ground with respect to B ? and (c) velocity of a monkey running on the roof of the train A against its motion (with a velocity of 27 kmh^(-1) with respect to the train A) as observed by a man standing on the ground?

A car and a truck are moving with the same speed of 12ms^(-1) . If their masses are in the ratio 1:5 , find the ratio of their kinetic energy.

Two cars are moving in the same direction with the same speed 30 km//hr . They are separated by a distance of 5 km , the speed of a car moving in the opposite direction of it meets these two cars at an interval of 4 minutes, will be.

KUMAR PRAKASHAN-MOTION IN A STRAIGHT LINE -SECTION-F
  1. Distance covered by ball thrown upwards with speed 'u' in last 't' sec...

    Text Solution

    |

  2. Ratio of distances covered by object falling freely under gravity in 1...

    Text Solution

    |

  3. Speed of water in river is 5 m/min from west to east. A man can swim w...

    Text Solution

    |

  4. Plane travels 400 m towards north then 300 m towards south and 1200 m ...

    Text Solution

    |

  5. Rate of decrease of velocity of an object moving with 6.25m//s is (dv)...

    Text Solution

    |

  6. An object moving with uniform acceleration covers 40 m in initial 5 se...

    Text Solution

    |

  7. A wheel of 1 m radius completes half rotation on horizontal path. Magn...

    Text Solution

    |

  8. An object falls freely from rest. It covers the same distance in last ...

    Text Solution

    |

  9. A bus starts moving with 1 ms^(-2) acceleration. A man 48 m away from ...

    Text Solution

    |

  10. A stone is thrown upwards with initial velocity 'u' from top of a towe...

    Text Solution

    |

  11. A train starting from a railway station and moving with uniform accele...

    Text Solution

    |

  12. A car moving over a straight path, covers a distance d with constant s...

    Text Solution

    |

  13. A train is moving with constant acceleration. When the ends of a train...

    Text Solution

    |

  14. Rate of decrease in distance between two objects moving with certain s...

    Text Solution

    |

  15. An object is allowed to fall freely from a cliff. When it travels a di...

    Text Solution

    |

  16. The displacement (in metre) of a particle varies with time (in second)...

    Text Solution

    |

  17. Train A 120 m long is moving with 20 m/s. Train B 130 m long is moving...

    Text Solution

    |

  18. A person throws balls upward in regular intervals of time of 2 s. What...

    Text Solution

    |

  19. A bus is moving with a speed of 10m/s on a straight road. A scooteri...

    Text Solution

    |

  20. Two trains moving mutually opposite with some speed on parallel tracks...

    Text Solution

    |