CPM Lecture

Esplana Realuyo & Co. Civil Engineering Review November 2023 (Refresher)

CONSTRUCTION PROJECT MANAGEMENT 8. Which of the following most nearly gives the number of working
hours required to complete the project?
INSTRUCTION: Select the correct answer for each of the following a. 160 hours c. 320 hours
questions. Mark only one answer for each item by shading the box
b. 20 hours d. 80 hours
corresponding to the letter of your choice on the answer sheet provided.
STRICTLY NO ERASURES ALLOWED. Use pencil no. 2 only. 9. Which of the following most nearly gives the total cost of the
project?
LABOR COST ESTIMATE a. P145,800 c. P182,600
b. P161,600 d. P129,300
1. A team of paver will work on a 2400 sq. m of sidewalk. It is 10. Which of the following most nearly gives the unit cost of the
assumed that they can finish 20 sq. m in one hour. project?
Qty Manpower/Equipment Hourly Rate a. P64.65/m3 c. P80.80/m3
1 Foreman Php 120.83
b. P72.90/m3 d. P91.30/m3
5 Skilled Worker (Mason/Carpenter) Php 87.26
11 Unskilled Worker (Laborer/Helper) Php 67.13
MATERIAL COST ESTIMATE
1 Concrete Mixer Php 4500
Determine the cost labor and equipment per square meter of
Situation 4: The figure shows a floor plan of a storage room. The
pavement.
height of wall is 3.60 m. The size of CHB is 400 mm x 200 mm x 150 mm.
a. 249.84 c. 289.78
Assume density of steel equal to 7,860 kg/m3.
b. 256.75 d. 271.42

Situation 1: The construction of a riprapping work is done as follows. A

0.45 m3 of riprap can be constructed in one hour by a group of workers
consisting of one foreman, one skilled worker, and 5 unskilled workers.
The foreman is paid P50 per hour, the skilled worker P40 per hour and
the unskilled worker is paid P35 per hour. The materials needed for a
cubic meter of riprap are 3 bags of cement at P150 per bag, 0.25 m3 of
sand at P300 per m3 and 1 m3 of boulder at P250 per m3. Profit, overhead,
and miscellaneous expenses is 30% of the labor and material cost. The
value added tax is 10% of the labor cost.
2. Which of the following most nearly gives the cost of labor per cubic
meter of riprap?
a. P277.78/m3 c. P125.00/m3
11. Which of the following most nearly gives the quantity of CHB? a.
b. P265.00/m3 d. P588.89/m3
303 c. 328
3. Which of the following most nearly gives the cost of materials per
cubic meter of riprap? b. 315 d. 335
12. Which of the following most nearly gives the volume of concrete?
a. P650.00/m3 c. P825.00/m3
a. 0.64 m3 c. 0.96 m3
b. P475.00/m3 d. P775.00/m3
4. Which of the following most nearly gives the total unit cost per cubic b. 0.69 m3 d. 0.46 m3
meter of riprap? 13. Which of the following most nearly gives the volume of gravel? a.
a. P1,508.06/m3 c. P1,520.84/m3 0.96 m3 c. 0.64 m3
b. P1,831.94/m3 d. P1,368.06/m3 b. 0.46 m3 d. 0.69 m3
14. Which of the following most nearly gives the weight of a 12- mm
Situation 2: A 4-m long pipe having a diameter of 600 mm is to be diameter bar per meter?
installed. The installation can be done in one hour by a group of workers a. 2.47 kg/m c. 0.62 kg/m
consisting of 1 foreman, 2 skilled workers, and 10 unskilled workers. b. 0.89 kg/m d. 1.58 kg/m
The foreman is paid P50 per hour, the skilled worker P40 per hour and 15. Which of the following most nearly gives the total length of 12- mm
the unskilled worker is paid P35 per hour. A backhoe is to be rented for diameter bars?
P800 per hour and a plate compactor for P120 per hour. For every meter a. 84.60 m c. 68.40 m
of pipe, the materials to be used are 0.07 bags of cement at P130 per bag b. 86.40 m d. 64.80 m
and 0.15 m3 of sand at P300 per m3. The cost of pipe is P570 per meter. 16. Which of the following most nearly gives the total weight of 12-mm
Profit, overhead, insurance, and miscellaneous expenses is 30% of the diameter bars?
labor, material, and equipment cost. The value added tax is 10% of the a. 60.80 kg c. 57.60 kg
labor and material cost. b. 75.20 kg d. 76.80 kg
5. Which of the following most nearly gives the cost of labor and
equipment per meter length of pipe? Situation 5: A bill of quantities is to be prepared for the square isolated
a. P120.00/m c. P1400.00/m reinforced concrete column and footing as shown. The foundation is
b. P350.00/m d. P480.00/m strong enough that formwork is not required for the footing. The swell
6. Which of the following most nearly gives the cost of materials per factor for the backfill is 120%. Unit weight of bars is 7,860 kg/m3.
meter length of pipe?
a. P624.10/m c. P576.10/m 17. Which of the following most nearly gives the quantity of excavation
b. P588.10/m d. P602.10/m in m3?
7. Which of the following most nearly gives the total cost for installing a. 0.3420 c. 0.3780
the pipe per meter length? b. 0.0360 d. 0.3060
a. P1,250.74/m c. P1,290.74/m 18. Which of the following most nearly gives the volume of gravel in m3?
b. P1,320.74/m d. P1,340.74/m a. 0.3420 c. 0.3780
b. 0.0360 d. 0.3060
Situation 3: A certain project requires 2,000 m3 of concrete. The
equipment and labor cost are given in the list below. 19. Which of the following most nearly gives the volume of backfill in m3?
Qty Description Rate a. 0.2376 c. 0.1650
- Pump Rental P500 per hour b. 0.1980 d. 0.4275
- Pump Capacity 100m3 per day 20. Which of the following most nearly gives the required volume of
- Pump Operating Hours 8 hours per day concrete in m3?
1 Pump Operator P50 per hour a. 0.1234 c. 0.2250
2 Mason P45 per hour b. 0.1980 d. 0.1995
4 Carpenter P40 per hour 21. Which of the following most nearly gives the quantity of formwork
6 Helper P35 per hour in m2?
a. 2.8735 c. 2.5550
b. 2.7500 d. 3.1250

Jeiel A. Valencia, CE
 CPM Lecture
Esplana Realuyo & Co. Civil Engineering Review November 2023 (Refresher)

22. Which of the following most nearly gives the weight of a 16- mm PERT-CPM
diameter bar per meter?
a. 2.47 kg/m c. 0.62 kg/m Situaton 8: Using the information given below:
b. 0.89 kg/m d. 1.58 kg/m
Activity Duration Cost (P) Predecessor
23. Which of the following most nearly gives the total length of 16- mm
diameter bars? A 4 2,200 -
a. 19.88 m c. 24.35 m B 6 1,900 A
b. 18.09 m d. 23.54 m C 8 1,600 -
24. Which of the following most nearly gives the total weight of 16-mm D 8 3,800 B,C
diameter bars? E 6 5,000 F
a. 31.42 kg c. 27.80 kg F 20 4,700 A
b. 42.13 kg d. 72.08 kg G 5 7,500 D,E
H 10 3,900 E
I 16 7,200 H

32. Determine the duration of the project.

a. 56 c. 35
b. 40 d. 46
33. Determine the critical path of the project.
a. A-B-G c. A-F-E-H-I
b. C-D-G d. A-F-E-H
34. Determine the total cost of the project.
a. P34,560.00 c. P39,500.00
b. P37,800.00 d. P38,700.00

BIDS

Situation 9: A project has been bid out by the Department of Public Works
and Highways. The Approved Agency Estimate (AAE) is 500 million pesos.
The results of responsive bids are as follows:

Bidder A P354,000,000
Bidder B P639,000,000
Bidder C P483,000,000
Bidder D P583,000,000
Bidder E P295,000,000
Bidder F P385,000,000

The implementing rules and regulations of P.D. 1594 states that no award
Situation 6: 1:2:3 mix is required for a 75 cu. m volume of concrete. of contract shall be made to a bidder whose bid price is higher than the
Assume 1 bag of cement is 0.0278 cu.m. Using 25L of water per bag of Allowable Government Estimate (AGE) or the Approved Agency
cement. Estimate (AAE) whichever is higher, or lower than 70% of the AGE. The
AGE is defined as one-half the sum of the AAE and the average of all
Material s.g. ρ (kg/cu.m.) responsive bids. For the purposes of determining the average of all
Cement 3.1 1510 responsive bids, bids higher than 120% of the AAE or lower than 60% of
Sand 2.65 1651 the AAE shall not be considered. No negotiation will be allowed to bring
Gravel 2.5 1633 down the bid to the level of the AAE/AGE.

Using the data above: 35. Which of the following most nearly gives the maximum bid price
25. Determine the total number of bags required. for the project?
a. 588 c. 678 a. P550,000,000 c. P600,000,000
b. 658 d. 574 b. P700,000,000 d. P500,000,000
26. Determine the total volume of sand required in cu.m. 36. Which of the following most nearly gives the minimum bid price for
a. 27.37 c. 32.66 the project?
b. 35.52 d. 30.65 a. P350,000,000 c. P250,000,000
27. Determine the total volume of gravel required in cu.m. b. P300,000,000 d. P400,000,000
a. 44.37 c. 4 7 . 1 0 37. Which of the following gives the responsive bidders for the
b. 49.06 d. 51.95 project?
28. Determine the quantity of water required in liters. a. A, C, D, and F only c. B and E only
a. 14700 c. 23870 b. A, C, and F only d. B, D, and E only
b. 17430 d. 19900 38. Which of the following most nearly gives the average of all the
responsive bids?
Situation 7: 1:3:5 mix is required for a 12 cu. m volume of concrete. a. P505,666,666.67 c. P467,000,000.00
Assume 1 bag of cement is 0.0278 cu.m. Using 25L of water per bag of b. P451,250,000.00 d. P407,333,333.33
cement. 39. Which of the following most nearly gives the Allowable
Government Estimate?
Material s.g. Air void ratio a. P453,666,666.67 c. P502,833,333.33
Cement 3.1 0.513 b. P483,500,000.00 d. P475,625,000.00
Sand 2.65 0.371 40. Which of the following bidders should the project be awarded?
Gravel 2.5 0.35 a. F c. A
b. B d. C
Using the data above:
29. Determine the total number of bags required.
a. 67 c. 71
b. 59 d. 50
30. Determine the total mass of sand required.
a. 9,200 kg c. 2,500 kg
b. 2,777 kg d. 14,950 kg
31. Determine the total mass of gravel required.
a. 2,777 kg c. 14,950 kg
b. 2,500 kg d. 9,200 kg

Jeiel A. Valencia, CE