Determining the Position and Distance Between Shreya, Deepak, and Amit in a Row of Boys
In a unique mathematical challenge, we find forty boys standing in a row facing north. Given the specific positions of Amit and Deepak, we need to calculate the distance between Shreya and Deepak. Let's break down the steps involved in solving this problem.
Understanding the Initial Positions
We are given that Amit is the 11th person from the left end of the row, and Deepak is the 31st person from the right end of the same row. The row consists of a total of 40 boys.
Determine Amit's Position
Amit's Position: Amit is the 11th person from the left end, which means there are 10 boys standing to his left and he is in the 11th position.
Determine Deepak's Position
Deepak's Position: To find Deepak's position from the left, we use the total number of boys (40) and subtract Deepak's position from the right (31) from the total number.
Calculation:
Total boys 40
Deepak's position from right 31
Deepak's position from left Total boys - Deepak's position from right 1
40 - 31 1 10
Deepak is therefore in the 10th position from the left.
Determine Shreya's Position
Shreya's Position: Shreya is standing 3 positions to the right of Amit. Since Amit is in the 11th position, Shreya's position is calculated as
Calculation:
Amit's position 11
Shreya's position Amit's position 3 11 3 14
Shreya is in the 14th position from the left.
Calculating the Distance Between Shreya and Deepak
Distance Calculation: To calculate the distance between Shreya and Deepak, we subtract Deepak's position from Shreya's position.
Calculation:
Shreya's position 14
Deepak's position 10
Distance Shreya's position - Deepak's position 14 - 10 4 positions
Conclusion
Shreya is 4 positions away from Deepak. This method of determining relative positions and calculating distances between individuals can be applied to various real-life scenarios and helps in understanding spatial relationships.
Additional Tips:
Positioning: Using the total number of individuals and their relative positions from the left and right can help in determining exact positions. Relative Positions: Understanding if Deepak is to the left or right of Amit helps in visualizing and solving the problem more easily. Distance Calculation: Always calculate the final position of the person and then determine the distance by simple subtraction.