Question
In a 2000-metre race, 'Aarav' beats 'Dev' by '400'
metres and 'Ishaan' by '600' metres. If 'Dev' and 'Ishaan' participate in an 800-metre race, and 'Ishaan' gets a head start of 80 metres, then find the distance between 'Dev' and 'Ishaan' when the winner reaches the finish line.Solution
ATQ, Ratio of speeds of 'Aarav', 'Dev', and 'Ishaan' = 2000 : (2000 - 400) : (2000 - 600) = 10 : 8 : 7 So, ratio of speeds of Dev and Ishaan = 8 : 7 Distance covered by 'Ishaan' in the time taken by 'Dev' to cover 800 metres = 800 × (7/8) = 700 metres Total difference between 'Dev' and 'Ishaan' when 'Dev' reaches the finish line = 800 - (700 + 80) = 20 metres So, 'Dev' will beat 'Ishaan' by 20 metres.
Three numbers are in the ratio 3:5:6. If the sum of their squares is 630, then the numbers are:
By mistake, by dividing Rupees 2256 between x, y and z in the proportion 1/3: 1/4: 1/5, it was divided in the proportion of 3:4:5. What is the differenc...
Two numbers are in the ratio 7:4. After adding 2 and 6 to them respectively the ratio becomes 2:3. Find the bigger number.
Shops 'A' and 'B' together purchased a total of 9,200 notebooks in the ratio of 2:7 for shop 'A' and 4:9 for shop 'B'. Shop 'A' managed to sell 25% of i...
Rs.10800 was divided among A, B and C in the ratio 2:3:4. B kept Rs.1200 for himself, gave Rs.800 to his mother and divided the remaining money among hi...
If x runs are second by Rohit, y runs by Shreyas and z runs by Virat, then x : y = y : z = 5:4. If total number of runs scored by Rohit, Shreyas and Vir...
If 'U' is the prime number 17, then find the fourth proportion of (U + 3), (U - 7) and (U + 5).
The ratio of males and females in a zoo is 5:6 respectively and the percentage of children among males and the percentage of children among females are ...
84 is divided into two parts in such a way that the fourth part of the first part and the fifth part of the second are in the ratio 1 : 2. The first par...
Ratio between two numbers is 9:14 and their difference is 55. Find the sum of the given two numbers.
Relevant for Exams:
