Neelam stated from point A towards point B with the speed of 18 km/h. At the same time Anchal started from point B towards A with the speed of 15 km/h. Distance between point A to B is 462 km. Find the distance between the point when they will meet each other from point B.

The correct answer is 210 km.

To find the distance from point B where Neelam and Anchal meet, we can follow these step-by-step calculations:

Step 1: Understand the given data
Speed of Neelam (starting from point A towards B), _v1 = 18 km/h
Speed of Anchal (starting from point B towards A), _v2 = 15 km/h
Total distance between point A and point B, D = 462 km

Step 2: Calculate the relative speed
Since Neelam and Anchal are moving towards each other from opposite directions, their relative speed is the sum of their individual speeds.

$\text{Relative Speed}=v_1+v_2$

$\text{Relative Speed}=18\text{km/h}+15\text{km/h}=33\text{km/h}$

Step 3: Calculate the time taken to meet
The time required for them to meet each other is given by dividing the total distance by their relative speed.

$\text{Time taken to meet (}t\text{)}=\frac{\text{Total Distance}}{\text{Relative Speed}}$

$t=\frac{462}{33}=14\text{hours}$

Step 4: Calculate the distance from point B to the meeting point
Anchal started from point B, so the distance of the meeting point from point B is equal to the distance covered by Anchal in 14 hours.

$\text{Distance from B}=\text{Speed of Anchal}\times \text{Time}$

$\text{Distance from B}=15\text{km/h}\times 14\text{hours}=210\text{km}$

Thus, the meeting point is 210 km away from point B.