In a 400-metre race, A runs at a speed of 16 m/sec. If A gives B a start of 15 metres and still beats him by 10 sec, then what is the speed of B?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 11 m/sec
  2. 10 m/sec
  3. 13 m/sec
  4. 9 m/sec

Answer (Detailed Solution Below)

Option 1 : 11 m/sec
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Detailed Solution

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Given:

In a 400-metre race, A runs at a speed of 16 m/sec.

A gives B a start of 15 metres and still beats him by 10 sec.

Concept used:

Distance = Time × Speed

Calculation:

Time taken by A to finish the race = 400/16 = 25 seconds

F1 SSC Ishita 24.02.23 D7

Since B is given a start of 15 metres, B has to cover = 400 - 15 = 385 metres

Time taken by B to finish the race = 25 + 10 = 35 seconds

Now, speed of B = 385/35 = 11 m/s

∴ The speed of B is 11 m/s.

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