Question
A buffalo alone can plough field ‘A’ in 30 days. A
Bull alone can plough the field ‘A’ in 36 days. Find the number of days taken by 2 bulls and 1 buffalo to together plough field ‘B’ that is 20% larger than field ‘A’?Solution
Let the total work done to plough field ‘A’ = 180 units (LCM of 30 and 36) Then, efficiency of a buffalo = (180/30) = 6 units/day Efficiency of a bull = (180/36) = 5 units/day Total work required to plough field ‘B’ = 180 × 1.20 = 216 units Combined efficiency of 2 bulls and 1 buffalo = 5 × 2 + 6 × 1 = 16 units So, number of days required to plough field ‘B’ = 216/16 = 13.5 days
- 60 grams of an alloy 'A' containing only gold, silver and copper in ratio 3:2:5 respectively is mixed with 20 grams of alloy 'B' which contains only silver...
A mixture contains alcohol and water in the ratio 5:4. When 30% of this mixture is transferred to container C, the amount of alcohol in container C is 6...
A 40-litre mixture of milk and water has milk and water in the ratio 3 : 1. 'x' litres of this mixture are removed and replaced with pure water. After t...
Vessels 'P' and 'Q' contain (4x - 10) litres and (x + 10) litres of petrol, respectively, and the price per litre of petrol in vessel 'P' and 'Q' is Rs....
A Vessel if full of milk, 5 litre of milk is taken out and replaced by water. This process is repeated once more, find the initial amount of milk in the...
A merchant mixes two varieties of sugar of 5 kg and 3 kg, which costs him Rs. 4 and Rs. 6 per kg, respectively. What is the cost price (in Rs.) of the m...
In a 400 litres mixture of milk and water, the ratio of the milk to water is 4:1. If 20 litres mixture is taken out and replaced by same quantity of wat...
The ratio of the quantity of juice and water in vessel A and vessel B is 3:2 and 4:3 respectively. 45 liters of mixture is taken out from vessel A and p...
A container has 40 litres of a mixture of milk and water in the ratio 3 : 1 . How many litres of water must be added so that the new ratio of ...
150 litres of Mixture ‘A’ (water + alcohol) contains 32% water and remaining alcohol while 112 litres of mixture ‘B’ (milk + water) contains 20 ...
Relevant for Exams:
