On a circular path of 693 m, Sujata and Anjali start walking from the same point but in the opposite directions at the speed of 2.85 km/h and 1.5 m/sec, respectively. When they will meet for the first time?  

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 1)
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  1. After 6.75 minutes 
  2. After 6.05 minutes 
  3. After 5.04 minutes 
  4. After 4.56 minutes 

Answer (Detailed Solution Below)

Option 3 : After 5.04 minutes 
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Detailed Solution

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Given:

Speed of Sujata = 2.85 km/hr

Speed of Anjali = 1.5 m/sec

Distance between them = 693 m

Concept used:

Relative speed when two persons travel with speeds of x km/hr and y km/hr in opposite directions is (x + y) km/hr.

Time = Distance/Speed

Calculation:

2.85 km/hr = 2.85 × (5/18)

⇒ 0.79 m/s

Relative speed = 0.79 + 1.5 = 2.29 m/s

Time = Distance/relative speed

⇒ Time = 693/2.29

⇒ Time = 302.62 seconds

⇒ Time =  5.04 minutes 

They will meet for the first time after 5.04 minutes.

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