Question
The ratio of the speed of boats ‘A’ and ‘B’ in
still water is 8:9, respectively. The speed of the current is 25% of the speed of boat ‘A’ in still water. If boat ‘A’ takes 12 hours to travel 960 km downstream, then find the time taken by boat ‘B’ to travel 112 km upstream and 440 km downstream. (Note: Both the boats are rowing in the same stream.)Solution
Let the speeds of boats ‘A’ and ‘B’ in still water be 8x km/hr and 9x km/hr Therefore, speed of the current = 0.25 × 8x = 2x km/hr According to the question, 8x + 2x = 960/12 Or, 10x = 80 Or, x = 8 Therefore, upstream speed of boat ‘B’ = 9x – 2x = 7x = 56 km/hr Downstream speed of boat ‘B’ = 9x + 2x = 11x = 88 km/hr Required time taken = (112/56) + (440/88) = 2 + 5 = 7 hours
If A:B = 3:4 and B:C = 5:7, then find the value of A:B:C.
The ratio of milk to water in a mixture is 5:2. If 14 liters of water is added, the ratio becomes 5:4. Find the quantity of milk in the mixture.
In a jug, there is a mixture of apple and orange juice in the ratio of 1:3. When 10 liters of Apple juice are added, the ratio of apple to orange juice ...
Ratio between two numbers is 9:14 and their difference is 55. Find the sum of the given two numbers.
If A varies directly as B and inversely as C and A = 8, B = 2 and C = 5, what is the value of A when B = 6 and C = 5?
In 2020, the incomes of A and B were in the ratio 8:5, and their expenses were in the ratio 5:3. A’s savings in 2020 exceeded B’s savings by ₹5,00...
A bag contains Re 1 and 50 paise coins in the ratio 2 : 3. While the ratio of 50 paise and 25 paise is 4:5. If the total value of these coins is Rs 177....
The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ratio 4 : 5 : 6 : 7. if the loss i...
A boy is supposed to distribute Rs.2400 among his three friends P, Q and R in the ratio of 4:3:5 respectively, but mistakenly he distributed in the rati...
6 years ago ratio of the ages of the two persons A and B was 5:3. 3 years hence the ratio of their ages will be 4:3. Find the present age of B.
Relevant for Exams:
