Quiz: Speed Time and Distance

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Number of Questions: 25

Question: 21 -

A farmer travelled from his village to city to buy seeds. He went by bicycle at a speed of 20 km/hr and came back at a speed of 5 km/hr. If the farmer took 5 hours and 40 minutes to complete his journey, find the distance between village and city?

Options:
  1. 15 km

  2. 23 km

  3. 25 km

  4. 19 km

  5. Answer:

    19 km

    Solution:

    Total distance travelled = Average speed * Total time taken to complete the journey

    Average speed =

    Apti Speed time and distance34.

    Total time taken = 4 hour 45 minutes =28560 =194hour

    So, Total distance travelled = 8 *194= 38 km

    Distance between village and city will be half of the total distance travelled:

    So, distance between village and city =382 = 19 km


Question: 22 -

A man goes to his office at 23 of the speed at which he returns from the office. If his average speed is during the whole journey is 24 km/hr, at what speed the man goes to office?

Options:
  1. 20 km/hr

  2. 22 km/hr

  3. 23 km/hr

  4. 21 km/hr

  5. Answer:

    20 km/hr

    Solution:

    Let the speed of man when he returns from office = X

    So, his speed when he goes to office =23X

    Average speed =

    Apti Speed time and distance35.

    Speed at which he goes to office is 23 of X,So it will be 23*30=20 km/hr


Question: 23 -

The ratio between the speeds of two cars is 5:8. If the first car covers 200 km in 2 hours, find the speed of the second car.

Options:
  1. 150 km/hr

  2. 160 km/hr

  3. 140 km/hr

  4. 170 km/hr

  5. Answer:

    160 km/hr

    Solution:

    Let the speed of two cars is 5X and 8X.

    Apti Speed time and distance36.

    =2002= 100 km/hr

    Therefore, 5X = 100

    X =1005 = 20 km/hr

    So the speed of second car will be = 8 * 20 = 160 km/hr


Question: 24 -

A man covers a distance of 110 km between two cities in 10 hours. He travelled partly on foot at 9 km/hr and partly on a bicycle at 15 km/hr. Find the distance travelled on foot.

Options:
  1. 92 km

  2. 94 km

  3. 60 km

  4. 96 km

  5. Answer:

    60 km

    Solution:

    Let the distance travelled on foot = X km

    ,, the distance travelled on bicycle would be = (90 - X) km

    Total time taken to cover the distance = 10 hrs

    Time taken to cover the 110 km would be equal to the sum of the time taken to cover the distances partly on foot and partly on bicycle.

    So,X9+110-X15= 10

    5X + 3(110 -X) = 45 * 10

    5X + 330 - 3X = 450

    2X =450 - 330

    2X = 120

    X =1202= 60 km


Question: 25 -

A man covers first 48 km of his journey in 40 minutes and next 32 km in 30 minutes. Find his average speed.

Options:
  1. 67 km/hr

  2. 74 km/hr

  3. 64 km/hr

  4. 70 km/hr

  5. Answer:

    64 km/hr

    Solution:

    Apti Speed time and distance37.

    Total distance = 48 + 32 = 80 km

    Total time = 40 + 35 = 75 minutes =7560 hrs

    Apti Speed time and distance38.