Speed, Time and Distance

Speed, Time and Distance

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Aptitude miscellaneous
  1. X and Y start walking towards each other at 8:00 am at the speeds of 3 km/h and 4 km/h, respectively. They were initially 17.5 km apart. At what time do they meet ?








  1. View Hint View Answer Discuss in Forum

    Let they meet after x h.
    Then, according to the question,
    3x + 4x = 17.5
    ⇒ 7x=17.5
    ∴ x=17.5/7=2.5 h

    Correct Option: A

    Let they meet after x h.
    Then, according to the question,
    3x + 4x = 17.5
    ⇒ 7x = 17.5
    ∴ x = 17.5 / 7 = 2.5 h
    So, they meet 2.5 h after 8:00 am.
    It means they meet at 10:30 am.

  1. A car crosses a man walking at 6 km/h. The man can see the things up to 450m only in one direction due to fog. He sees the car which was going in the same direction for 4.5 minutes. What is the speed of the car?








  1. View Hint View Answer Discuss in Forum

    Time = Total distance / Relative speed
    4.5/60 hr. = (450/1000) / x
    ⇒ x = 6 km/h

    Relative speed = Speed of car - Speed of man
    6 = x - 6

    Correct Option: B

    Time = Total distance / Relative speed
    4.5/60 hr. = (450/1000) / x
    ⇒ x = 6 km/h

    Relative speed = Speed of car - Speed of man
    6 = x - 6
    ⇒ x = 12 km/h

  1. Anjali fires two bullets from the same place at the interval of 6 minutes but Bhagwat sitting in a car approaching the place of firing hears the second fire 5 min 32 sec after the first firing. What is the speed of car, if the speed of sound is 332 m/s?








  1. View Hint View Answer Discuss in Forum

    (speed of wind) / (speed of car) = (Time utilised) / (time saved)
    ⇒ 332/x = 332/28

    Correct Option: C

    (speed of wind) / (speed of car) = (Time utilised) / (time saved)
    ⇒ 332/x = 332/28
    ∴ x = 28 m/s

  1. The wheel of an engine of 300 cm in circumference makes 10 revolution in 6 seconds. what is the speed of the wheel (in km/h) ?








  1. View Hint View Answer Discuss in Forum

    Circumferences means one resolutions .
    Therefore, distance covered in 10 resolutions =300 x 10 = 30 m
    i.e., 30 meters in 6 seconds.

    Correct Option: A

    Circumferences means one resolutions .
    Therefore, distance covered in 10 resolutions =300 x 10 = 30 m
    i.e., 30 meters in 6 seconds.
    ∴ Speed of wheel = 30/6 m/s = 5 m/s
    ∴ 5 m/s = 5 x (18/5) = 18 km/h

  1. A train passes an electric pole in 10 seconds and a platform 120 m long in 18 seconds. Its length in meters is ?








  1. View Hint View Answer Discuss in Forum

    Let the length of train be x m, then
    x/10 = (120 + x)/18

    Correct Option: A

    Let the length of train be x m, then
    x/10 = (120 + x)/18
    ⇒ x = 150m