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Work, distance and Time

Description: Work, distance and Time
Number of Questions: 12
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Tags: maths speed maths word problems on speed time and distance problems involving speed time and distance
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A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours. If the breakdown had occurred 10 km farther off, he would have done the whole journey is 4 hours. Find where the breakdown occurred and his original speed.

  1. 5km/hr,10km

  2. 10km/hr,10km

  3. 10km/hr,5km

  4. 5km/hr,5km


Correct Option: B

The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10km/hr more than the speed of going, what was the speed per hour in each direction?

  1. going speed =−30km/hr, returning=−20km/hr

  2. going speed =20km/hr, returning=30km/hr

  3. going speed =30km/hr, returning=40km/hr

  4. going speed =30km/hr, returning=20km/hr


Correct Option: B

If a man walks 17 km in 5 hours, how long(in hrs) would he take to walk 20.4 km

  1. 6

  2. 5

  3. 8

  4. None of these


Correct Option: A
Explanation:

Time taken to walk 17km=5hrs.
Time taken to walk $1km=\dfrac{5}{17}hrs.$
Time taken to walk $20.4km=\dfrac{5}{17} \times20.4$

$=6 hrs.$

Two boys P and Q walk at 6 km/hr and 6 km/hr respectively. If Q covers a certain distance in 10 minutes less than P. What is the time taken by Q to cover the same distance (in minutes)?

  1. 40

  2. 60

  3. 30

  4. 70


Correct Option: A

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is :

  1. 50 km

  2. 56 km

  3. 70 km

  4. 80 km


Correct Option: A
Explanation:

Let the actual distance travelled be x km.
Then, $\dfrac{x}{10}=\dfrac{x+20}{14}$

$14x=10x+200$
$4x=200$
$x=50 km$

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