Question
A man can row at 5 km/hr in still water. If the velocity
of current is 2 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?Solution
Let the distance be x km. Speed upstream = 5 – 2 = 3 km/hr Speed downstream = 5 + 2 = 7 km/hr ⇒ x/3 + x/7 = 1 ⇒ (7x + 3x)/21 = 1 ⇒ 10x = 21 ⇒ x = 21/10 = 2.1 km
A solution contains alcohol and water in the ratio 3:2. If 15 liters of water is added to the solution, the ratio becomes 3:5. What was the initial volu...
Mohini's Biology test had 250 questions i.e., 20 Macromolecules, 60 Homeostasis and 70 Immunology questions. Although she answered 70% of the Macromolec...
A sum of Rs 31866 is divided between A, B and C such that the ratio of shares of A and B is 9:8 and that of A and C is 4:5. The share (in RS) of B is:
In an orchard, the ratio of the number of mango and lichi trees is 4:5, respectively. Also, there are few apple trees in the orchard which is 50% more t...
- ‘P’, ‘Q’ and ‘R’ divide a certain amount among themselves. The average of their shares is Rs. 4860. Share of ‘P’ is 12(1/2)% more than shar...
Rs. 1960 is divided among A, B and C in the ratio 2 : 5 : 7. Find C's share.
The total number of students to the total number of teachers in Universities A and B is in the ratio 25:4. Additionally, the number of teachers in Univ...- If 78% of (A - B) is equal to 26% of 90% of (A + B), then find the ratio of B to A.
- Mixture X has milk and water in the ratio 5:3, while mixture Y has them in the ratio 4:5. 64 litres of X and 45 litres of Y are combined. What is the ratio...
- In a hostel, the number of senior and junior students are in the ratio 4:3. If the number of seniors was reduced by 32 and the juniors increased by 16, the...
