algebra

The electric power which a transmission line can transmit is proportional to the product of its design voltage and current capacity, and inversely to the transmission distance. A 115-kilovolt line rated at 100 amperes can transmit 150 megawatts over 150 km. How much power, in megawatts can a 230 kilovolt line rated at 150 amperes transmit over 100 km?

The time required for an elevator to lift a weight varies directly with the weight and the distance through which it is to be lifted and inversely as the power of the motor. If it takes 30 seconds for a 10 hp motor to lift 100 lbs through 50 feet, what size of motor is required to lift 800 lbs in 40 seconds through 40 feet?

The selling price of a TV set is double that of its cost. If the TV set was sold to a customer at a profit of \(25\%\) of the net cost, how much discount was given to the customer?

A bookstore purchased a best selling price book at P 200.00 per copy. At what price should this book be sold so that, giving a \(20\%\) discount, the profit is \(30\%\)?

Jojo bought a second hand Betamax VCR and then sold it to Rudy at a profit of \(40\%\). Rudy then sold the VCR to Noel at a profit of \(20\%\). If Noel paid P 2,856 more than it cost to Jojo, how much did Jojo paid for the unit?

In a certain community of 1,200 people, \(60\%\) are literate. Of the males, \(50\%\) are literate and of the females \(70\%\) are literate. What is the female population?

A merchant has three items on sale, namely a radio for P 50, a clock for P 30 and a flashlight for P 1. At the end of the day, he sold a total of 100 of the three items and has taken exactly P 1,000 on the total sales. How many radios did he sale?

The sum of three arithmetic means between 34 and 42 is

How many terms of the progression 3, 5, 7, ... must be taken in order that their sum will be 2600?

In a pile of logs, each layer contains one more log than the layer above and the top contains just one log. If there are 105 logs in the pile, how many layers are there?

A stack of bricks has 61 bricks in the bottom layer, 58 bricks in the second layer, 55 bricks in the third layer, and so on until there are 10 bricks in the last layer. How many bricks are there all together?

A besiege fortress is held by 5700 men who have provisions for 66 days. If the garisson losses 20 men each day, for how many days can the provision hold out?

A Geodetic Engineering student got a score of \(30\%\) on Test 1 of the five number test in Surveying. On the last number he got \(90\%\) in which a constant difference more on each number that he had on the immediately preceding one. What was his average score in Surveying?

Once a month, a man puts some money into the cookie jar. Each month he puts 50 centavos more into the jar than the month before. After 12 years, he counted his money, he had P 5,436. How much money did he put in the jar in the last month?

A girl on a bicycle coasts downhill covering 4 feet the first second, 12 feet the second second, and in general, 8 feet more each second than the previous second. If she reaches the bottom at the end of 14 seconds, how far did she coasts?

How many times will a grandfather's clock strikes in one day if it strikes only at the hours and strike once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on?

To conserve energy due to the present energy crisis, the Meralco tried to re-adjust their charges to electrical energy users who consume more than 2000 kw-hrs. For the first 100 kw-hr, they charged 40 centavos and increasing at a constant rate more than the preceding one until the fifth 100 kw-hr, the charge is 76 centavos. How much is the average charge for the electrical energy per 100 kw-hr?

Find the fourth term of the progression \(1/2\), 0.2, 0.125,...

Find the \(9^{th}\) term of the harmonic progression 3, 2, \(3/2\)....

Find the sum of 4 geometric means between 160 and 5.