A car driver travels from plane to hill station which are 200 km apart at an average speed of 40 km/h. In the return trip, he covers the same distance at an average speed of 20 km/h. Then, the average speed of the car over the entire distance of 400 km is

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  1. 25 km/h
  2. 30 km/h
  3. 24.33 km/h
  4. 26.67 km/h

Answer (Detailed Solution Below)

Option 4 : 26.67 km/h
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The correct answer is option 4.

Given: A car driver travels from plane to hill station which are 200 km apart at an average speed of 40 km/h. In the return trip, he covers the same distance at an average speed of 20 km/h.

Concept Used: Distance = Speed x Time

Calculation:

⇒ Average speed = \(\dfrac{Total \; distance}{Total \; time}\)

Total distance = 2 x 200 = 400 km

⇒ Total time from plane to hill and hill to plane = \(\dfrac{200}{40} + \dfrac{200}{20}\) = 15 hours

⇒ Average speed = \(\dfrac{400}{15}\) = 26.67 km/hr

Hence, the average speed of the entire distance is 26.67 km/hr.

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