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The driver of an auto-rickshaw sees a person 70 meters ahead of him. The person is 110 meters behind after 30 seconds. If the speed of the auto-rickshaw is 28 km/h, what is the speed of the person?

  1. 16.4 km/h
  2. 10 km/h
  3. 15 km/h
  4. 6.4 km/h

Answer (Detailed Solution Below)

Option 4 : 6.4 km/h
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Detailed Solution

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Given:

The speed of the auto-rickshaw = 28 km/h

In starting the person is 70 meters ahead of auto-rickshaw.

The person is 110 meters behind after 30 seconds

Concept used:

When we convert speed into km/h from m/sec we multiply by 5/18.

Formula used:

Relative speed = speed of auto rickshaw – speed of person

Average speed = Total distance/Total time 

Calculation:

After 30 second, the total distance between them = 70 + 110 = 180 m.

Now the relative speed =  Total distance/Total time = 180/30 = 6 m/sec

Then the relative speed in km/h = 6 × (18/5) = 21.6 km/h

Now relative speed = speed of auto rickshaw – speed of person

⇒ 21.6 = 28 – speed of person

⇒ speed of person = 6.4 km/h

∴ The speed of person is 6.4 km/h.

 

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