algebra

It takes Myline twice as long as Jeana to do a certain piece of work. Working together, they can finish the work in \(6\) hours. How long would it take Jeana to do it alone?

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?

A farmer can plow the field in \(8\) days. After working for \(3\) days, his son joins him and together they plow the field in \(3\) more days. How many days will it require for the son to plow the field alone?

Crew No. \(1\) can finish installation of an antenna tower in \(200\) man-hour while Crew No. \(2\) can finish the same job in \(300\) man-hour. How long will it take both crews to finish the same job, working together?

On one job, two power shovels excavate \(20{,}000\) cubic meters of earth, the larger shovel working \(40\) hours and the smaller for \(35\) hours. On another job, they removed \(40{,}000\) cubic meters with the larger shovel working \(70\) hours and the smaller working \(90\) hours. How much earth can each remove in \(1\) hour working alone?

Ten liters of \(25\%\) salt solution and \(15\) liters of \(35\%\) salt solution are poured into a drum originally containing \(30\) liters of \(10\%\) salt solution. What is the per cent concentration of salt in the mixture?

A Chemist of a distillery experimented on two alcohol solutions of different strength, \(35\%\) alcohol and \(50\%\) alcohol, respectively. How many cubic meters of each strength must he use in order to produce a mixture of \(60\) cubic meters that contain \(40\%\) alcohol?

A goldsmith has two alloys of gold, the first being \(70\%\) pure and the second being \(60\%\) pure. How many ounces of the \(60\%\) pure gold must be used to make \(100\) ounces of an alloy which will be \(66\%\) gold?

Two thousand (\(2000\)) kg of steel containing \(8\%\) nickel is to be made by mixing a steel containing \(14\%\) nickel with another containing \(6\%\) nickel. How much of each is needed?

How much water must be evaporated from \(10\) kg solution which has \(4\%\) salt to make a solution of \(10\%\) salt?

If a two digit number has \(x\) for its unit's digit and \(y\) for its ten's digit, represent the number.

One number is \(5\) less than the other. If their sum is \(135\), what are the numbers?

Ten less than four times a certain number is \(14\). Determine the number.

The sum of two numbers is \(21\) and one number is twice the other. Find the numbers.

If eight is added to the product of nine and the numerical number, the sum is seventy-one. Find the unknown number.

Find the fraction such that if \(2\) is subtracted from its terms its becomes \(1/4\), but if \(4\) is added to its terms it becomes \(1/2\).

The product of \(\frac{1}{4}\) and \(\frac{1}{5}\) of a number is \(500\). What is the number?

If \(3\) is subtracted from the numerator of a certain fraction, the value of the fraction becomes \(3/5\). If \(1\) is subtracted from the denominator of the same fraction, it becomes \(2/3\). Find the original fraction.

The denominator of a certain fraction is three more than twice the numerator. If \(7\) is added to both terms of the fraction, the resulting fraction is \(3/5\). Find the original fraction.

Find the product of two numbers such that twice the first added to the second equals \(19\) and three times the first is \(21\) more than the second.