Question
'Armaan' and 'Bittu' are
traveling from points 'P' and 'Q,' respectively, toward each other. 'Armaan' reaches point 'Q' in 12 hours, while 'Bittu' takes 12.5 hours to reach point 'P' after meeting 'Armaan.' Quantity-I: Calculate the difference in time taken by 'Armaan' and 'Bittu' to reach their respective destinations. Quantity-II: Determine the time taken by 'Armaan' to reach the meeting point. In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.Solution
ATQ, Let the meeting point of 'Armaan' and 'Bittu' be point 'a'. Let the time taken by both 'Armaan' and 'Bittu' to reach point 'a' be 't' hours. Time taken by 'Armaan' to reach point 'Q' after reaching point 'a' = '12 - t' hours And time taken by 'Bittu' to reach point 'P' after meeting 'Armaan' = 12.5 hours ATQ, [(12-t)/t] = (t/12.5) 150 - 12.5t = t2 
Since, time cannot be negative, t = 7.5 Quantity I: So, total time taken by 'Bittu' to reach point 'P' = 7.5 + 12.5 = 20 hours So, required difference = 20 - 12 = 8 hours So, Quantity I = 8 hours Quantity II: Time taken by 'Armaan' to reach the meeting point = 7.5 hours So, Quantity II = 7.5 hours So, Quantity I > Quantity II
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