System of equations - practice problems - page 2 of 110
Number of problems found: 2186
- The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water? - A plane 3
A plane left 30 minutes later than the scheduled time. In order to reach the destination 1,500 km away on time, it had to increase its speed by 250 km/h from its usual speed. Find its usual speed. - Dual profit
A merchant has 1,000 kg of sugar, part of which he sells at an 8% profit and the rest at an 18% profit. He gains 14% on the whole. Find the quantity sold at an 8% profit. - Two trains 16
Two trains cross each other in 14 seconds when moving in opposite directions, and in 3 minutes and 2 seconds when moving in the same direction. By what percentage is the speed of the faster train greater than that of the slower train? - Horses and hens
In a park, there are some horses and some hens. If the total number of heads is 68 and the total number of legs is 198, find the number of hens in the park. - Usual speed 2 A passenger train takes 1 hour less for a journey of 120 km if its speed is increased by 10 km/h from its usual speed. What is its usual speed?
- The supplementary angles
Two supplementary angles differ by 50°. Find the measure of each angle. - Shares
$1,300 are divided among A, B, C, and D such that A/B = B/C = C/D = 2/3. - Three people
Three people: Peter, Quinton, and Roland. 5 years ago, the average age of P and Q was 15 years. The current average age of P, Q, and R is 20 years. Find the age of R in 10 years. - Monthly income
There are three workers: X, Y, and Z. The average monthly income of X and Y is $5,050. The average monthly income of Y and Z is $6,250, and the average monthly income of X and Z is $5,200. What is the monthly income of X? - 5 years 5 years ago, a father's age was three times the age of his son. In 5 years' time, the father's age will be twice the age of his son. Find their current ages.
- Money exchange A told B, "If you give me 1/3 of your money, I'll have $50." In turn, B told A, "If you give me $9, we'll have the same amount." Find how much money each of them has.
- Work in factory
45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join? - Palidrom
A number consists of two digits whose product is 24. When 18 is subtracted from the number, the digits change their places. Find the number. - Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers. - Twins 2 The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age?
- At present
At present, Ram is eight years younger than Susan, and Hari is two years younger. If the respective ratio between the present age of Ram and that of Hari is 3: 4, then what is Hari's present age? - Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers. - System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4 - Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4.
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