Question
The speeds of Avinash and Rahul are 70km/hr and 90km/hr.
Initially Rahul is at a place P and Avinash is at a place Q. The distance between Rahul and Avinash is 1040km. Avinash started his journey 8 hours earlier than Rahul to meet each other. If they meet each other at a place O somewhere between P and Q, then the distance between O and Q isSolution
Let the distance covered of x km by Avinash Time taken is ‘t’ hours, then Distance covered by Avinash= speed × time x = 70 × t ………………………(i) Distance covered by Rahul (1040 - x)km by Rahul. Distance covered by Rahul = speed × time (1040 – x) = 90 × (t – 8) ………………………(ii) Putting the value of ‘t’ in eq (ii) from eq (i) (1040 – x) = 90 × (x/70 – 8) 1040 - x = 9x/7 – 720 1040 + 720 = 9x/7 + x 1760 = 16x/7 x = 770 km
Five years from now, the age of Arjun will be 28 years. Six years from now, the ratio of ages of Arjun and Varun will be 4:5 respectively. After how man...
The present ages of A and B are in the ratio 11:9. The ratio of A’s age 10 years hence to B’s age 18 years ago is 3:1. If C is 20% less than the sum...
'P' and 'Q' have present ages in the ratio of 4:5. If Q’s current age is increased by 20%, the gap between their ages becomes 1...
The ratio of A and B present age is 5:3. The product of their ages is 1500. What will be the ratio of their ages after 2 years?
The average age of Mohan, his wife, his son and his daughter is 24 years. His wife is just 5 years younger than Mohan himself and his wife was 25 years ...
The present ages of Amit and Sumit are in the ratio of 5:3, respectively. After 6 years from now, if the difference between the age of Amit and Sumit wi...
The present age of A is double of B's present age. C's present age is 3/5th of A's present age. Average age of A, B and C is 28 yrs. Find the present ag...
- The current age ratio of Kiran to Prakash is 8:3. In ten years, Kiran’s age will be three times Prakash’s age at that time. What is Kiran’s present a...
The present age of A is 9/5 times to that of his marriage age. Present age of his brother is 1/2nd of his present age. If A was married 24 years ago the...
The Average age of 25 pupils in a class is ‘y’ years. If their principal, aged 50 years, joins them, the average rises by 1 year. Find the value of ...
Relevant for Exams:
