A girl goes to school at a speed of 10 km/hr. She comes back with a speed of 40 km/hr. Find her average speed for the whole journey.

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  1. 10 km/h
  2. 14 km/h
  3. 16 km/h
  4. 6 km/h

Answer (Detailed Solution Below)

Option 3 : 16 km/h
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Detailed Solution

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Given:

Speed while going to school (S1) = 10 km/h

Speed while coming back (S2) = 40 km/h

Formula used:

Average Speed = \(\dfrac{2 \times S_1 \times S_2}{S_1 + S_2}\)

Calculation:

Average Speed = \(\dfrac{2 \times 10 \times 40}{10 + 40}\)

⇒ Average Speed = \(\dfrac{2 \times 400}{50}\)

⇒ Average Speed = \(\dfrac{800}{50}\)

⇒ Average Speed = 16 km/h

∴ The correct answer is option (3).

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