Speed, Time and Distance


  1. A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
    1. 4 hours
    2. 4 hours 30 minutes
    3. 4 hours 45 minutes
    4. 5 hours

  1. View Hint View Answer Discuss in Forum

    Time taken in walking both ways = 7 hours 45 minutes   ....(i)
    Time taken in walking one way and riding back = 6 hours 15 minutes   ....(ii)
    By equation (ii) × 2 – (i), we have Time taken by the man to ride both ways
    = 12 hours 30 minutes – 7 hours 45 minutes
    = 4 hours 45 minutes

    Correct Option: C

    Time taken in walking both ways = 7 hours 45 minutes   ....(i)
    Time taken in walking one way and riding back = 6 hours 15 minutes   ....(ii)
    By equation (ii) × 2 – (i), we have Time taken by the man to ride both ways
    = 12 hours 30 minutes – 7 hours 45 minutes
    = 4 hours 45 minutes


  1. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed (in km/hr) is
    1. 5
    2. 6
    3. 6.25
    4. 7.5

  1. View Hint View Answer Discuss in Forum

    Abhay’s speed = x kmph
    Sameer’s speed = y kmph

    ∴ 
    30
    30
    = 2   ...(i)
    xy

    and,  
    30
    30
    = 1   ...(ii)
    y2x

    On adding,
    30
    30
    = 3
    x2x

    ⇒ 
    60 − 30
    = 3
    2x

    ⇒ 
    30
    = 3 ⇒ 6x = 30
    2x

    ⇒  x = 5 kmph

    Correct Option: A

    Abhay’s speed = x kmph
    Sameer’s speed = y kmph

    ∴ 
    30
    30
    = 2   ...(i)
    xy

    and,  
    30
    30
    = 1   ...(ii)
    y2x

    On adding,
    30
    30
    = 3
    x2x

    ⇒ 
    60 − 30
    = 3
    2x

    ⇒ 
    30
    = 3 ⇒ 6x = 30
    2x

    ⇒  x = 5 kmph



  1. A and B started at the same time from the same place for a certain destination.
    B walking at
    5
    of A’s speed reached the destination
    6
    1 hour 15 minutes after A. B reached the destination in
    1. 6 hours 45 minutes
    2. 7 hours 15 minutes
    3. 7 hours 30 minutes
    4. 8 hours 15 minutes

  1. View Hint View Answer Discuss in Forum

    1 −
    5
    of time taken by B
    6

    =1 hour 15 minutes
    ∴  Time taken by B
    = 1 hour 15 minutes × 6
    =7 hours 30 minutes

    Correct Option: C

    1 −
    5
    of time taken by B
    6

    =1 hour 15 minutes
    ∴  Time taken by B
    = 1 hour 15 minutes × 6
    =7 hours 30 minutes


  1. Ram arrives at a Bank 15 minutes earlier than scheduled time if he drives his car at 42 km/hr. If he drives car at 35 km/hr he arrives 5 minutes late. The distance of the Bank from his starting point is
    1. 70 km
    2. 210 km
    3. 72 km
    4. 60 km

  1. View Hint View Answer Discuss in Forum

    Let the required distance be x km.
    Difference of time = 15 + 5 = 20 minutes

    =
    1
    hour
    3

    According to the question,
    x
    x
    =
    1
    6x − 5x
    =
    1
    354232103

    ⇒ 
    x
    =
    1
    2103

    ⇒   x =
    210
    = 70 km.
    3

    Correct Option: A

    Let the required distance be x km.
    Difference of time = 15 + 5 = 20 minutes

    =
    1
    hour
    3

    According to the question,
    x
    x
    =
    1
    6x − 5x
    =
    1
    354232103

    ⇒ 
    x
    =
    1
    2103

    ⇒   x =
    210
    = 70 km.
    3



  1. Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearing of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed (in km/hr) ?
    1. 24
    2. 27
    3. 30
    4. 36

  1. View Hint View Answer Discuss in Forum

    Difference of time
    = 6 min. – 5 min. 52 sec.
    = 8 seconds
    Distance covered by man in 5 min.52 seconds
    = Distance covered by sound in 8 seconds
    = 330 × 8 = 2640 m.

    ∴ Speed of man =
    2640 m
    5 min. 52 sec.

    =
    2640
    m/sec
    352

    =
    2640
    ×
    18
    kmph
    3525

    = 27 kmph

    Correct Option: B

    Difference of time
    = 6 min. – 5 min. 52 sec.
    = 8 seconds
    Distance covered by man in 5 min.52 seconds
    = Distance covered by sound in 8 seconds
    = 330 × 8 = 2640 m.

    ∴ Speed of man =
    2640 m
    5 min. 52 sec.

    =
    2640
    m/sec
    352

    =
    2640
    ×
    18
    kmph
    3525

    = 27 kmph