In a circular race of 4225 m, X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h. When will they meet again for the first time on the track when they are running in the opposite direction?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. 140 seconds
  2. 150 seconds
  3. 130 seconds
  4. 120 seconds

Answer (Detailed Solution Below)

Option 3 : 130 seconds
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Detailed Solution

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Given:

X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h.

Distance = 4225 m

Formula used:

Distance = relative speed × time

Calculations:

The relative speed of both in the opposite direction = S2 + S1

= 54 + 63 =117 km/h = 117 * (5/18) = 65/2 m/s.

So,

Time is taken by them to meet for the first time on the track while running in opposite direction = Length of track / relative speed in opposite direction

= 4225/(65/2) = 130 seconds 

Hence, The Required time is 130 seconds.

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