A person travels from P to Q at a speed of 50 km/h and returns by increasing his speed by 60%. What is his average speed for both the trips?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 35.61 km/h 
  2. 61.53 km/h 
  3. 31.56 km/h 
  4. 16.53 km/h 

Answer (Detailed Solution Below)

Option 2 : 61.53 km/h 
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Detailed Solution

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Given:

A person travels from P to Q at a speed of 50 km/h and returns by increasing his speed by 60%.

Concept used:

Average speed = 2S1S2/(S+ S2)

Here S1S2 are the speed

Calculation:

Speed at time of returning = 50 × 160%

⇒ 80 km/h

Average speed = (2 × 50 × 80)/(50 + 80)

⇒ 8000/130

⇒ 61.53

∴ The average speed for both trips is 61.53 km/h.

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