Question
‘Elvish’ and ‘Farhan’ alone can finish a work in
25 and 50 days, respectively, while ‘Gaurav’ can complete 20% of the job in 10 days. All three start together, but after 7 days, ‘Elvish’ and ‘Farhan’ leave. How long will the total work take?Solution
ATQ,
Gaurav’s full work calculation: (10/0.20) = 50 days.
Total work = LCM (25, 50, 50) = 100 units.
Work per day:
Efficiency of Elvish = 100/25 = 4 units/day
Efficiency of Farhan = 100/50 = 2 units/day
Efficiency of Gaurav = 100/50 = 2 units/day
Work done in 7 days:
(4+2+2) × 7 = 56 units.
Remaining work = 100 - 56 = 44 units.
Time taken by Gaurav = 44/2 = 22 days.
Total time = 7 + 22 = 29 days.
Containers A and B hold mixtures of honey and water in the ratios of 3:2 and 9:11, respectively. If 12 liters from container A and 24 liters from contai...
A mixture consists of (k+16) liters of milk and (2k+12) liters of water. After adding 8 liters of milk and 20 liters of water to ...
A can initially contains a mixture of glycerine and water, with 60 liters more glycerine than water. When 20% of this mixture is removed and replaced wi...
- An alloy consists of 35% gold, 40% silver, and 25% copper. How much gold should be added to 20 kg of the alloy so that the new alloy contains 50% gold?
A container initially contains 40 liters of petrol and an unknown quantity of diesel. Then 25% of the mixture is removed and poured into another contain...
150 litres of a mixture contains 30% milk and rest water. If ‘x’ litres of milk is added into the mixture then quantity of water in the final mixtur...
Quantity of water in a 250 litres mixture (alcohol + water) is 30 litres less than the quantity of alcohol in it. Find the quantity of water to be mixed...
A container was filled with pure milk. A person removed 10 litres of milk and refilled it with water to hide the act. He repeated the same act once agai...
- A solution contains acid and water in the ratio 2:3. After adding 4 litres of acid and 3 litres of water, the ratio becomes 3:4. What was the initial quant...
In a 210 litres mixture, milk is 10% more than water. On adding (n - 4) litres water and (n + 4) litres milk, milk to water ratio becomes 11:10. Find th...
Relevant for Exams:
