A car travels between two stations with an average speed of 60 km/hr and comes back with average speed of 90 km/hr. What is the average speed of the car in the whole journey?

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Uttarakhand Police Constable Official Paper (Held On: 18 Dec 2022)
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  1. 85 km/hr
  2. 80 km/hr
  3. 72 km/hr 
  4. 75 km/hr

Answer (Detailed Solution Below)

Option 3 : 72 km/hr 
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Detailed Solution

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Has been given:

Speed ​​from A to B = 60 km/hr

Speed ​​from B to A = 90 km/hr

Formulas used:

Average speed of the whole journey = \(\frac{2xy}{x + y}\) (when same distance is covered)

Calculation:

⇒ Average speed = \(\frac{2 × 60 × 90}{60 + 90} = \frac{10800}{150}\)

⇒ Average speed = 72 km/hr

∴ The average speed of the car for the whole journey is 72 km/hr.

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