Speed, Time and Distance

Speed, Time and Distance

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Aptitude miscellaneous
  1. A car covers a distance from town A to town B at the speed of 58 km/h and covers the distance from town B to town A at the speed of 52 km/ h. What is the Approximate average speed of the car?








  1. View Hint View Answer Discuss in Forum

    We know that, if two equal distances are covered at two different speeds A and B, then
    Average speed = 2AB/(A + B)

    Correct Option: A

    We know that, if two equal distances are covered at two different speeds A and B, then
    Average speed = 2AB/(A + B) = (2 x 58 x 52)/(58 + 52)
    = 54.8 km/h
    = 55 km/h (Approx)

  1. A car reached Raipur from sonagarh in 35 min with an average speed of 69 km/h. If the average speed is increased by 36 km/h, how long will it take to cover the same distance?








  1. View Hint View Answer Discuss in Forum

    Distance between Sonagarh and Raipur = Average speed x time
    = 69 x (35/60) km = 161/4 km
    New speed = (69 + 36) km/h = 105 km/h
    ∴ Required time = Distance/speed

    Correct Option: C

    Distance between Sonagarh and Raipur = Average speed x time
    = 69 x (35/60) km = 161/4 km
    New speed = (69 + 36) km/h = 105 km/h
    ∴ Required time = Distance/speed
    = 161/(4 x 105) h
    = (161 x 60)/(4 x 105) min
    = 23 min

  1. A student walks from his house at 21/2 km/h and reaches his school late by 6 min. Next day, he increase his speed by 1 km/h and reaches 6 min before school time. How far is the school form his house?








  1. View Hint View Answer Discuss in Forum

    Let the required distance = L
    According to the question,
    L/(5/2) - L/(7/2) = 12/60 (difference between two times = 6 + 6 =12 min)

    Correct Option: B

    Let the required distance = L
    According to the question,
    L/(5/2) - L/(7/2) = 12/60 (difference between two times = 6 + 6 =12 min)
    ⇒ 2L/5 - 2L/7 = 1/5
    ⇒ 14L - 10L = 7
    ⇒ 4L = 7
    ⇒ L = 7/4 km

  1. A car runs at the speed of 50 km/h when not serviced and runs at 60 km/h, when serviced. After servicing, the car covers a certain distance in 6 h. How much time will the car take to cover the same distance when serviced?








  1. View Hint View Answer Discuss in Forum

    After sevicing speed of car = 60 km/h
    ∴ Distance covered in 6 h = 60 x 6 km = 360 km.

    Correct Option: D

    After sevicing speed of car = 60 km/h
    ∴ Distance covered in 6 h = 60 x 6 km = 360 km.
    When not serviced, then time taken to cover 360 km = 360/50 = 7.2 h

  1. A and B are two station 1000 km apart. A train starts from A and moves towards B at 40 km/h. Another train starts from B at the same time and moves towards A at 60 km/h. How far from A will they cross each other ?








  1. View Hint View Answer Discuss in Forum

    Let they meet x km from A.
    Then, according to the question,
    x/40 = (1000 - x)/60

    Correct Option: B

    Let they meet x km from A.
    Then, according to the question,
    x/40 = (1000 - x)/60
    ⇒ 60 x = 40(1000 - x)
    ⇒ 3x = 2000 - 2x
    ⇒ 3x + 2x = 2000
    ⇒ 5x = 2000 km
    ∴ x = 2000/5 = 400 km