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Quiz: Speed Time and Distance

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Number of Questions: 25

Question: 6 -

Two boys start running at the same time in the same direction at a speed of 10 km/hr and 12 km/hr respectively. In what time they will be 8 km apart?

Options:

  1. 6 hours

  2. 4 hours

  3. 5 hours

  4. 3 hours

    5. Answer:

    4 hours
    Solution:

    Both the boys are in motion so we will consider relative speed to find the time.

    Relative speed = 12 - 10 = 2 km/hr

    Distance = 8 km

    Time =8⁄2= 4 hours

Question: 7 -

A car moving at a speed of 75 km/hr covers certain distance in 2 hours. If its speed is reduced by 15 km/hr, in what time it will cover the same distance?

Options:

  1. 135 minutes

  2. 140 minutes

  3. 155 minutes

  4. 150 minutes

    5. Answer:

    150 minutes
    Solution:

    Distance = speed x time

    = 75 * 2 = 150 km

    New speed = 75 -15= 60 km/hr

    Required time =150⁄60=5⁄2hrs

    We need answer in minutes:

    5⁄2*60=300⁄2= 150 minutes

Question: 8 -

A horse covers a certain distance in 40 minutes if it runs at a speed of 60 km/hr. At what speed the horse can cover the same distance in 30 minutes?

Options:

  1. 80 km/hr

  2. 86 km/hr

  3. 84 km/hr

  4. 82 km/hr

    5. Answer:

    80 km/hr
    Solution:

    Distance = Speed x Time

    Speed = 60 km/hr

    Time = 40 minutes →40⁄60hrs

    Distance = 60 *40⁄60=2400⁄60 = 40 km

    Speed of horse to cover 40 km in 30 minutes or 30⁄60hrs would be:

    Apti Speed time and distance18

Question: 9 -

At his usual speed a cyclist covers a certain distance in 8 hours. When the speed of cycle is increased by 4 km/hr the same distance can be covered in 6 hours. Find the distance.

Options:

  1. 94 km

  2. 98 km

  3. 96 km

  4. 92 km

    5. Answer:

    96 km
    Solution:

    Distance = speed * time

    Let the distance is = X

    Difference in speed is given = 4 km/hr

    Apti Speed time and distance20

    Therefore, X⁄6 -X⁄8 = 4

    Apti Speed time and distance20= 4

    X = 96 km

Question: 10 -

A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45 minutes. If he runs at a speed of 10 km/hr, in what time he will cover the same distance?

Options:

  1. 80 minutes

  2. 70 minutes

  3. 74 minutes

  4. 84 minutes

    5. Answer:

    84 minutes
    Solution:

    Distance = Speed * Time

    Speed = 8 km/hr

    Time = 1 hour 45 minutes = 105⁄60minutes =21⁄12 hrs

    Distance = 8 *21⁄12=168⁄12= 14 km

    Time required to cover the 14 km at a speed of 10 km/hr =

    Apti Speed time and distance16

    Time in minutes = 1.4 * 60 = 84 minutes