Fifty Thousand Pesos Split into Two Simple Interest Investment

Problem
A man wants to invest a sum of P50,000 in two investments. The first investment earns a rate of interest 4 times that of the second investment. In 3 years the first investment grows to P37,200. For 10 years, the second investment grows to P24,000.

  1. Find the sum invested in each rate of interest.
    A.   P35,000 and P15,000
    B.   P35,500 and P14,500
    C.   P30,000 and P20,000
    D.   P32,000 and P18,000
     
  2. Find the rate of interest of each.
    A.   8% and 2%
    B.   6% and 4%
    C.   7% and 3%
    D.   5% and 1%

 

Support Reactions of a Trapezoidal Slab with Three Points of Support

Situation
A reinforced concrete slab in the shape of an isosceles trapezoid weighs 3600 N/m2. It is supported on the three points as shown in the figure.
 

eq-parallel-forces-trapezoid-slab.gif
  1. Find the reaction at A.
    A.   16,848 N
    B.   6,716 N
    C.   13,372 N
    D.   2,010 N
  2. Find the reaction at B.
    A.   16,848 N
    B.   6,716 N
    C.   13,372 N
    D.   2,010 N
  3. Find the reaction at C.
    A.   16,848 N
    B.   6,716 N
    C.   13,372 N
    D.   2,010 N

 

01 - Example of Mixture Related Problem

Problem
In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?
A. 3.33 liters of 4% and 1.67 liters of 10% solution
B. 1.67 liters of 4% and 3.33 liters of 10% solution
C. 3.67 liters of 4% and 1.33 liters of 10% solution
D. 1.33 liters of 4% and 3.67 liters of 10% solution
 

13 - Length of Belt Connecting Two Pulleys

Situation
Two flat belt pulleys have a center to center distance of 137 cm, and diameters of 72 cm and 36 cm, respectively. Neglecting the sagging of belt.

  1. Compute the length of belt if both pulleys will rotate in the same direction.
    A.   464.5 cm
    B.   553.1 cm
    C.   446.0 cm
    D.   535.4 cm
     

    035-pulleys-the-same-direction.gif

     

  2. Compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
    A.   654.1 cm
    B.   465.2 cm
    C.   564.2 cm
    D.   645.1 cm
     

    035-pulleys-the-opposite-directions.gif

     

  3. Determine the distance of the point from the center of the bigger pulley where the belt will cross when cross-connected.
    A.   91.3 cm
    B.   100.4 cm
    C.   89.4 cm
    D.   98.7cm

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