Question
A can complete a work in 20 days, B in 30 days and C in
60 days. They started working together. After 4 days, A left the work and B and C completed the remaining work. In how many more days was the remaining work completed?Solution
ATQ, A's 1-day work = 1/20 B's 1-day work = 1/30 C's 1-day work = 1/60 Together, 1-day work = 1/20 + 1/30 + 1/60 = 3/60 + 2/60 + 1/60 = 6/60 = 1/10 Work done in 4 days = 4/10 = 2/5 Remaining work = 1 - 2/5 = 3/5 Now B and C complete the remaining work. B + C 1-day work = 1/30 + 1/60 = 2/60 + 1/60 = 3/60 = 1/20 Time taken = (3/5) ÷ (1/20) = (3/5) × 20 = 12 Hence, the correct answer is 12 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 ...
