Speed, Time and Distance

Speed, Time and Distance

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  1. The ratio between the speeds of two buses is 5 : 3. If the 1st bus runs 400 km in 8 h, then find the speed of the 2nd bus.?








  1. View Hint View Answer Discuss in Forum

    Let speed of 1st bus = 5k
    and speed of 2nd bus = 3k
    According to the question,
    5k = 400/8 = 50

    Correct Option: A

    Let speed of 1st bus = 5k
    and speed of 2nd bus = 3k
    According to the question,
    5k = 400/8 = 50
    ∴ k = 50/5 = 10
    ∴ Speed of 2nd bus = 3k = 3 x 10 = 30 km/h

  1. The speeds of three cars are in the ratio of 2 : 3 : 5 find the ratio of the time taken by the above cars to travel the same distance.?








  1. View Hint View Answer Discuss in Forum

    We know that speed and time are inversely proportional.
    ∴ Ratio of time taken = 1/2 : 1/3 : 1/5

    Correct Option: A

    We know that speed and time are inversely proportional.
    ∴ Ratio of time taken = 1/2 : 1/3 : 1/5
    = 30/2 : 30/3 : 30/5 [ LCM of 2, 3, 5 = 30 ]
    = 15 : 10 : 6

  1. Nilu covers a distance by walking for 6 h. While returning, his speed decreases by 2km/h and he takes 9 h to cover the same distance. What was her speed while returning?








  1. View Hint View Answer Discuss in Forum

    Let the speed in return journey = x
    According to the question,
    6( x + 2 ) = 9x

    Correct Option: C

    Let the speed in return journey = x
    According to the question,
    6( x + 2 ) = 9x
    ⇒ 6x + 12 = 9x
    ⇒ 9x - 6x = 12
    ⇒ 3x = 12
    ∴ x = 12/3 = 4km/h

  1. A takes 4 h more than the time taken by B to walk D km. If A doubles his speed, he can make it in 2 h less than that of B. How much time does B require for walking D km?








  1. View Hint View Answer Discuss in Forum

    Let B takes x h to walk D km.
    Then, A takes ( x + 4 ) h to walk D km.
    With doube of the speed,
    A will take ( x+ 4)/2 h.

    According to the question,
    x - (x + 4)/2 = 2

    Correct Option: A

    Let B takes x h to walk D km.
    Then, A takes ( x + 4 ) h to walk D km.
    With doube of the speed,
    A will take ( x+ 4)/2 h.

    According to the question,
    x - (x + 4)/2 = 2
    ⇒ 2x - (x + 4) = 4
    ⇒ 2x - x - 4 = 4
    ∴ x = 4 + 4 = 8 h

  1. If Sohail walks from his home to office at 16 km/h, he is late by 5 min. If he walks at 20 km/h, he reaches 10 min before the office time. Find the distance of his office from his house.








  1. View Hint View Answer Discuss in Forum

    Let required distance = L
    According to the question,
    L/16 - L/20 = 15/20

    Correct Option: B

    Let required distance = L
    According to the question,
    L/16 - L/20 = 15/20
    ⇒ (5L - 4L)/80 = 1/4
    ∴ L = (1/4) x 80 = 20 km