A student walked 6 km from his house to reach the metro station, then boarded a metro that has an average speed of 60 km/h, and reached the destination. It took 3 hours for the entire journey. If the average speed of the entire journey is 32 km/h, then the speed of walking is ________. 

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
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  1. 1.5 km/h
  2. 3 km/h
  3. 2 km/h
  4. 4 km/h

Answer (Detailed Solution Below)

Option 4 : 4 km/h
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Detailed Solution

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Given:

A student walked 6 km from his house to reach the metro station, then boarded a metro that has an average speed of 60 km/h, and reached the destination.

It took 3 hours for the entire journey.

The average speed of the entire journey is 32 km/h.

Concept used:

1. Average speed = Total distance covered ÷ Total time taken

2. Distance = Speed × Time

Calculation:

Total distance travelled by him = 32 × 3 = 96 km

Distance covered on metro = 96 - 6 = 90 km

Time taken by the metro to cover 90 km = 90/60 = 1.5 hours

Remaining time = 3 - 1.5 = 1.5 hours

Speed of walking = 6 ÷ 1.5 = 4 km/h

∴ The speed of walking is 4 km/h.

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