P gives Q a head-start of 2 seconds in a 400 m race, but both finish the race at the same time. Find the time taken by P to finish the race if the speed of Q is 2 m/sec.

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 198 seconds
  2. 199 seconds
  3. 200 seconds
  4. 195 seconds

Answer (Detailed Solution Below)

Option 1 : 198 seconds
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

P gives Q a head-start of 2 seconds in a 400 m race, but both finish the race at the same time.

The speed of Q is 2 m/sec.

Calculation:

Time taken by Q to finish the race is 400 / 2 = 200 sec

Time taken by P to finish the race is 200 - 2 = 198 secs

The correct option is 1

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