Speed, Time and Distance

Speed, Time and Distance

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  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

  1. Walking with 3/4 of his usual speed, Sachin covers a certain distance in 2 h more than the time he takes to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed.








  1. View Hint View Answer Discuss in Forum

    Let th distance = D
    and usual speed = V
    According to the question,
    D/(3V/4) - D/V = 2

    Correct Option: B

    Let th distance = D
    and usual speed = V
    According to the question,
    D/(3V/4) - D/V = 2
    ∴ D/V = 3 x 2 = 6
    Time taken to cover the distance with usual speed = 6 h

  1. A car covers a distance of 200 km in 2 h 40 min whereas a jeep covers the same distance in 2 h. What is the ratio of their speeds?








  1. View Hint View Answer Discuss in Forum

    Speed of car = Distance/Time = 200/240/60
    = 600/8 = 75 km/h
    Speed of jeep = 200/2 = 100 km/h

    Correct Option: A

    Speed of car = Distance/Time = 200/240/60
    = 600/8 = 75 km/h
    Speed of jeep = 200/2 = 100 km/h
    ∴ Required ratio = 75/100 = 3/4 3 : 4

  1. Amit walks at a uniform speed of 4 km/h and 4 h after his start, Brijesh cycles after him at the uniform rate of 20 km/h. How far from the starting point will Brijesh catch Amit?








  1. View Hint View Answer Discuss in Forum

    Let Brijesh Catches Amit after x h.
    Then, distance travelled by Amit in (x + 4) h = Distance travelled by Brijesh in x h.

    According to the question,
    4(x + 4) = 20 x

    Correct Option: D

    Let Brijesh Catches Amit after x h.
    Then, distance travelled by Amit in (x + 4) h = Distance travelled by Brijesh in x h.

    According to the question,
    4(x + 4) = 20 x
    ⇒ 4x + 16 = 20x
    ⇒ 16x = 16
    ∴ x = 16/16 = 1

    Distance travelled by Brijesh in1h = 1 x 20 = 20 km