Two motorists start together to travel to a certain destination, one at the speed of 4 km/h and the other at the speed of 6 km/h. Find the distance travelled by them (in km) if the motorist travelling at 4 km/h arrives half an hour after the other motorist.

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. 8
  2. 5
  3. 6
  4. 4

Answer (Detailed Solution Below)

Option 3 : 6
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Detailed Solution

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Given:-

Speed of first man = 4 km/hr

Speed of second man = 6 km/h

Formula used:- 

Distance = Speed x Time 

Calculation:- 

Distance = 4 ×T

For the second motorist (traveling at 6 km/h)

Distance  = 6 × (T - 0.5) 

Their distances must be the same 

⇒ Distance1 = Distance2 

4T = 6(T - 0.5) 

⇒ T = 3/2 Hours

Distance = 4 km/h × (3/2) hours = 6 km

∴ The motorist traveling at 4 km/h traveled a distance of 6 km to reach the destination.  

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