Quadratic Equations Problems
Number of problems found: 597
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle. - The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field. - The product 18
The product of two consecutive natural numbers which are multiples of 3 is equal to 810. Find the two numbers. - Four numbers 3
What least number must be added to each of the numbers 6,15,20 and 43 to make them proportional? - The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares. - Reciprocal in equation
A positive number, when increased by 10 equals 200 times its reciprocal. What is the number?
- A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed. - Usual speed 2
A passenger train takes 1 h less for a journey of 120 km.If its speed increased by 10 k/h from its usual speed. What is its usual speed? - By selling
By selling an article for $ 21, a trader loses as much percent as the cost price of the article. Find the cost price. - 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. - Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn. - Usual speed
If the usual speed is reduced by 5 km per hour, a train takes 2 hours more to cover a distance of 300 km. Find the usual speed. - Difference of squares If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number.
- Speed Adjustment
By increasing the speed of his car by 15 km/h, a person covers a 300 km distance in an hour less than before. What was the original speed? - The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers. - A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water. - The difference 9 The difference of two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the numbers.
- Product - maximum If x+y is 12 then what is the maximum value of x×y?
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