Neelam started from point A towards point B at a speed of $18 ext{ km/h}$. Simultaneously, Anchal started from point B towards point A at a speed of $15 ext{ km/h}$. The distance between points A and B is $462 ext{ km}$. What is the distance from point B to the point where they meet?

Question

Neelam started from point A towards point B at a speed of $18 	ext{ km/h}$. Simultaneously, Anchal started from point B towards point A at a speed of $15 	ext{ km/h}$. The distance between points A and B is $462 	ext{ km}$. What is the distance from point B to the point where they meet?

Accepted Answer

**Solution:**

1. Since Neelam and Anchal start at the same time from points A and B respectively and move towards each other, their relative speed is the sum of their speeds:
   
   $$	ext{Relative Speed} = 18 + 15 = 33 	ext{ km/h}$$

2. The total distance between A and B is $462 	ext{ km}$. The time taken for them to meet is:
   
   $$	ext{Time} = \frac{	ext{Distance}}{	ext{Relative Speed}} = \frac{462}{33} = 14 	ext{ hours}$$

3. Distance covered by Anchal from point B in 14 hours:
   
   $$	ext{Distance} = 	ext{Speed} 	imes 	ext{Time} = 15 	imes 14 = 210 	ext{ km}$$

4. Therefore, the meeting point is $210 	ext{ km}$ from point B.

**Answer:** $210 	ext{ km}$

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