Speed, Time and Distance


  1. I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
    1. 9.5 minutes
    2. 19 minutes
    3. 18 minutes
    4. 20 minutes

  1. View Hint View Answer Discuss in Forum

    Two ways walking time = 55 min    ...(i)
    One way walking + One way riding time = 37 min.     ....(ii)
    By 2 × (ii) – (i),
    2 ways riding time
    = 2×37–55 = 19 minutes

    Correct Option: B

    Two ways walking time = 55 min    ...(i)
    One way walking + One way riding time = 37 min.     ....(ii)
    By 2 × (ii) – (i),
    2 ways riding time
    = 2×37–55 = 19 minutes


  1. Rubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is
    1. 2 km.
    2. 5 km.
    3. 2 metre
    4. 5 metre

  1. View Hint View Answer Discuss in Forum

    Distance between starting
    point and multiplex = x metre

    Time =
    Distance
    Speed

    According to the question,
    x
    x
    =
    5 + 5
    4x − 3x
    =
    1
    3460126

    ⇒  
    x
    =
    1
    ⇒ x =
    12
    = 2 km.
    1266

    Correct Option: A

    Distance between starting
    point and multiplex = x metre

    Time =
    Distance
    Speed

    According to the question,
    x
    x
    =
    5 + 5
    4x − 3x
    =
    1
    3460126

    ⇒  
    x
    =
    1
    ⇒ x =
    12
    = 2 km.
    1266



  1. A and B start running at the same time and from the same point around a circle. If A can complete one round in 40 seconds and B in 50 seconds, how many seconds will they take to reach the starting point simultaneously ?
    1. 10
    2. 200
    3. 90
    4. 2000

  1. View Hint View Answer Discuss in Forum

    Required time = LCM of 40 and 50 seconds
    = 200 seconds

    Correct Option: B

    Required time = LCM of 40 and 50 seconds
    = 200 seconds


  1. Two persons ride towards each other from two places 55 km apart, one riding at 12km/hr and the other at 10 km/hr. In what time will they be 11 km apart?
    1. 2 hours and 30 minutes
    2. 1 hour and 30 minutes
    3. 2 hours
    4. 2 hours and 45 minutes

  1. View Hint View Answer Discuss in Forum

    Relative speed
    = 12 + 10 = 22 kmph
    Distance covered
    = 55 – 11 = 44 km

    ∴ Required time =
    44
    hours
    22

    = 2 hours

    Correct Option: C

    Relative speed
    = 12 + 10 = 22 kmph
    Distance covered
    = 55 – 11 = 44 km

    ∴ Required time =
    44
    hours
    22

    = 2 hours



  1. Walking at
    3
    of his usual speed, a man reaches
    4
    his office 20 minutes late. Then his usual time for walking to his office is :
    1. 1 hour
    2. 30 minutes
    3. 45 minutes
    4. 40 minutes

  1. View Hint View Answer Discuss in Forum

    Usual time = x minutes

    New time =
    4x
    minutes
    3

    ∵  Speed ∝
    1
    Time

    According to the question,
    4x
    − x = 20
    3

    ⇒ 
    x
    = 20
    3

    ⇒  x = 60 minutes i.e. 1 hour.

    Correct Option: A

    Usual time = x minutes

    New time =
    4x
    minutes
    3

    ∵  Speed ∝
    1
    Time

    According to the question,
    4x
    − x = 20
    3

    ⇒ 
    x
    = 20
    3

    ⇒  x = 60 minutes i.e. 1 hour.