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. 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. 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. 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. 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. 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.