Question
The ratio of the speed of boats βAβ and βBβ in
still water is 8:9, respectively. The speed of the current is 25% of the speed of boat βAβ in still water. If boat βAβ takes 12 hours to travel 600 km downstream, then find the time taken by boat βBβ to travel 140 km upstream and 550 km downstream. (Note: Both the boats are rowing in the same stream.)Solution
Let the speeds of boats βAβ and βBβ in still water be 8x km/hr and 9x km/hr Therefore, speed of the current = 0.25 Γ 8x = 2x km/hr According to the question, 8x + 2x = 600/12 Or, 10x = 50 Or, x = 5 Therefore, upstream speed of boat βBβ = 9x β 2x = 7x = 35 km/hr Downstream speed of boat βBβ = 9x + 2x = 11x = 55 km/hr Required time taken = (140/35) + (550/55) = 4 + 10 = 14 hours
- A container contains milk and water in the ratio 7:5, respectively. It also contains 40 litres of sugar solution. If a certain quantity of mixture which co...
A mixture contains milk and water, where the difference between the quantities of milk and water is 20% of the total mixture, which is 180 ml. If adding...
In a 220 litres mixture, milk is 20% more than water. On adding (n - 6) litres water and (n + 6) litres milk, the milk to water ratio becomes 5:4. Find ...
In 100 litres of a mixture (milk + water), ratio of quantity of milk to that of water in a mixture is 5:3, respectively. (2x + 18.6) litres of milk and ...
A 420 litre mixture contains only milk and water in the ratio 5:2 respectively. If 'x' litre of water is added to the mixture, then ratio of milk and w...
640 litres of mixture βAβ contains milk and water in it. If mixture βAβ is mixed with 560 litres of mixture βBβ which contains water and sal...
A milkman mixes two types of milk, one costing βΉ60 per liter and the other costing βΉ90 per liter, to make a mixture. The final mixture is sold at οΏ½...
A 240-litre mixture contains only milk and honey in the ratio 5:3, respectively. If 'Q' wishes to increase the percentage of milk...
A mixture contains (3x + 60) litres of alcohol and (4x β 40) litres of spirit. 20% of the mixture is taken out, and some quantity of alcohol and spiri...
A container holds (p + 80) liters of juice and 'p' liters of water. If 60 liters of juice and (p/2) liters of water are added to ...
Relevant for Exams:
