[Q1] What is the absolute temperature of the freezing point of water in degree Rankine?
Solution: The freezing point of water is equal to 32°F or 0°C.
°R = °F+460
°R = 32°+460
= 492°R
[Q2] Express 45° in mils.
Solution: By ratio and proportion:
[Q3] What is the value in degrees of 1 radian?
Solution: By ratio and proportion:
[Q4] How many cubic feet is 100 gallons of liquid?
Solution: 1 cubic ft. = 7.48 gallons
Then, 100 gallons = 13.37 cubic ft.
[Q5] How many horsepower is 746 kilowatts?
Solution: 1 hp = 746 watts
1 hp = 0.746 kW
Thus, Answer. 1000 hp
[Q6] A 7kg mass is suspended in a rope. What is the tension in the rope in SI?
Solution:
[Q7] A certain luxury ship cruises Cebu to Manila at 21 knots. If it will take 21 hours to reach Manila from Cebu, the distance traveled by the ship is nearly:
Solution: D=Vt
21 knots = 21 nautical miles/hr
D = 21 x 21 = 441 nautical mile
1 nautical mile = 1.15 statute mile
Thus, Answer 507.15 statute mile
[Q8] If 16 is 4 more than 4x. Find 5x -1
Solution: 16=4x+4
x =3 substitue ‘x’ to
5x -1 = 14
[Q9] Find the value of x in
4x + 4 +6x = 564 -24x
34x=560
x=16.47
[Q10] Solve for the value of x.
Subtract equation 2 from equation 3
(2x-3y – 3z) – (x-3y – 2z) = 16-13
x – z = 3
x = 3 + z -> Eq. 4
Multiply eq. 1 by eq. 2
6x -3y+3z = 18 -> Eq. 5
Subtract eq.2 from eq.5
(5x – 3y +3z) – (x-3y-2z) = 18 -13
5x + 5z = 5
z = 1-x -> eq. 6
Substitue eq.6 in eq.4
x = 3+ z
x = 3+(1-x)
x =2
[Q11] The sum of Kim’s and Kevins ages is 18. In 3 years, Kim will be twice as old as Kevin. What are their ages now?
Solution:
x + y = 18
y = 18-x -> Eq.1
statement 2:
(y+3) = 2(x+3) -> Eq.2
Substitute y in Eq.2
(18-x) + 3 = 2x +6
21 – x = 2x + 6
x = 5
Substitute x in Eq. 1
y = 13
[Q12] Mike , Loui, and Joy can mow the lawn in 4,6, and 7 hours. Respectively. What fraction of the yard can they mow in 1 hour if they work together?
Solution:
Using CASE 2 work equation, Sum of unit work = total unit of work
[Q13] Solve |5-3x| < 2
Solution:
if and only if -2 < 5-3x <2
-7 <-3x <-3 [Subract both sides by 5]
Answer. 7/3 < x < 1
or the soution is the set (1,7/3)
[Q
Inhinyerong Pinoy 