Time, Speed and Distance

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Quantitative Aptitude

• Time, Speed and Distance

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Time, Speed and Distance

• Important formulas
• Distance travelled (Speed x Time)
• So, Speed Distance / Time
• and Time Distance / Speed
• km/hr to m/sec conversion
• m/sec to km/hr conversion

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Time, Speed and Distance

• If the ratio of the speeds of A and B is a  b,
  then the ratio of the times taken by them to
  cover the same distance is 1 / a 1 / b
  or b  a.
• Suppose a man covers a certain distance
  at x km/hr and an equal distance at y km/hr.
  Then, the average speed during the whole journey
  is (2xy / x  y) km/hr.
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4
Time, Speed and Distance

• Q1. A man crosses a 600 m long road in 5 minutes.
  What is his speed in km per hour?
• Sol

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Time, Speed and Distance

• Q2. A train covers a certain distance at a speed
  of 240 kmph in 5 hours. To cover the same
  distance in 1(2/3) hours, it must travel at a
  speed of
•  
• Sol

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Time, Speed and Distance

• Q3. If a person runs at 14 km/hr instead of 10
  km/hr, he would have covered 20 km more. The
  actual distance travelled by him is
• Sol Let t hr is the time for which that person
  runs.
• 14t 10t 20
• ? 4t 20
• Hence, t 5hr
• So, the actual distance travelled by him
  is 10 5 50km

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Time, Speed and Distance

• Q4. Excluding stoppages, the speed of a train is
  54 kmph and including stoppages, it is 45 kmph.
  For how many minutes does the train stop per
  hour?
•  
• Sol Due to stoppages, it covers 9 km less.
• Time taken to cover 9 km (9 / 54) 60
  min 10 min

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Time, Speed and Distance

• Q5. A person covered a certain distance at some
  speed. Had he moved 3 kmph faster, he would have
  taken 40 minutes less time. If he had moved 2
  kmph slower, he would have taken 40 minutes more.
  The distance (in km) is
•  
• Sol

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Time, Speed and Distance

• Q6. In a flight of 600 km, an aircraft was slowed
  down due to bad weather. Its average speed for
  the trip was reduced by 200 km/hr and the time of
  flight increased by 30 minutes. The duration of
  the flight is
•  Sol

10
Time, Speed and Distance

• Q7. A train can travel 50 faster than a car.
  Both start from point A at the same time and
  reach point B 75 kms away from A at the same
  time. On the way, however, the train lost about
  12.5 minutes while stopping at the stations. The
  speed of the car is
• Sol