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Water is continuously supplied from a reservoir to a locality at the steady rate of 10000 liters per hours. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three hour periods is 10000, 10000, 45000, 25000, 40000, 15000, 60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in thousand liters)to meet the demand and avoid any wastage?

Correct Answer: 40
We have the following table:
Period Supply DemandCalculation Excess Qty. in tank
0 - 3 hrs 30000 1000030000 - 10000 20000
3 - 6 hrs 30000 1000020000 + 30000 - 10000 40000
6 - 9 hrs 30000 4500040000 + 30000 - 45000 25000
9 - 12 hrs 30000 2500025000 + 30000 - 25000 30000
12 - 15 hrs 30000 4000030000 + 30000 - 40000 20000
15 - 18 hrs 30000 1500020000 + 30000 - 15000 35000
18 - 21 hrs 30000 6000035000 + 30000 - 60000 5000
21 - 24 hrs 30000 350005000 + 30000 - 35000 0
The excess quantity in tank at any time does not exceed 40000 litres,
Which is the required minimum capacity to avoid wastage.

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?

The water level in a municipal reservoir has been decreasing steadily during a dry spell, and there is a concern that the drought could continue for another 60 days. The local water company estimates that the consumption rate in the city is approximately 107 L/day. The state conservation service estimates that rainfall and stream drainage into the reservoir coupled with evaporation from the reservoir should yield a net water input rate of 106 exp (-t/100) L/day, where t is the time in days from the beginning of the drought, at which time the reservoir contained an estimated 109 liters of water. Integrate the balance to calculate the reservoir volume at the end of the 60 days of continued drought.

A tank with capacity T liters is empty. If water flows into the tank from pipe X at the rate of x liters per minute and water is pumped out by Y at the rate of y liters per minute and x > y, then how many minutes will the tank be filled?

Which of the following statements are true/false?
1. A minimum rate of wages for the time spent by employees for the production of output is minimum time rate.
2. Minimum piece rate is the rate based on the quantity of the output employees have produced.
3. The guaranteed time rate is a minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis.
4. A minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis is overtime rate.

"From the following information, calculate the extra cost of material by following EOQ:
Annual consumption = 45000 units
Ordering cost per order = Rs 10
Carrying cost per unit per annum = Rs 10
Purchase price per unit = Rs 50
Re-order quantity at present = 45000 units
There is discount of 10% per unit in case of purchase of 45000 units in bulk"

A factory that employs 1000 assembly -in workers pays each of these workers at a rate of Tk. 5 per hour for the first 40 hours worked during a week and 1.5 times that rate for the hours worked in excess of 40 hours. whatis the total amount paid to the workers in a week in which 30% of the workers worked 20 hours, 50% worked 40 hours and the rest of the workers worked 50 hours?

Which of the following statements are true/false?
1. In case an employee whose minimum rate of wages is fixed under this Act, works overtime, the employer need not pay the money for the extra hours devoted by the employee.
2. If an employee whose minimum rate of wages has been fixed under this Act, works for a less number of hours than the requisite number of hours on a given day, he shall be entitled to receive wages in respect ofwork done by him on that day as ifhe had worked for a full normal working day.
3. In case an employee is involved in two or more classes of work, he shall be paid on the basis of pieces involved.
4. If an employee is employed on piece work for which minimum time rate and not a minimum piece rate has been fixed under this Act, the employer shall pay to such employee wages at not less than the minimum time rate.

A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank is 2.5 hours. What is the capacity of the tank?

A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing?

In a batch process, the reaction takes place in the presence of an acid medium. The acid is drained from the reaction vessel at the rate of 15ml/s as a result of the density difference of the acid from the reacting component. To avoid wastage of acid, it is recycled to an acid tank which has 1000 L capacity. The acid drained from the reaction vessel, picks up 50 g/L solids from the reactor. Acid is fed once again to the process from acid tank. When the process is started, the acid is almost pure in the tank as a result of filtration. As the reaction proceeds, acid in the tank gets more and more contaminated with the solids. The concentration of the solids should not exceed 100 g/L from the process point of view. The batch time is 16h. Estimate whether the concentration of the solids will exceed 100g/L during the batch reaction.