Shaalaa.com | Quadratic Equation part 2 (Represent in Mathematical equation)
One year ago, man was 8 times as old as his son. Now, his age is equal to the square of his son’s age. Find their present ages.
A train travels at a certain average speed for a distanced of 54 km and then travels a distance of 63 km at an average speed of 6 km/hr more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed?
The sum of the ages of a boy and his brother is 25 years, and the product of their ages in years is 126. Find their ages.
Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.
A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed, If it takes 3 hours to complete total journey, what is its original average speed?
While boarding an aeroplane, a passenger got hurt. The pilot showing promptness and concern, made arrangements to hospitalise the injured and so the plane started late by 30 minutes to reach the destination, 1500 km away in time, the pilot increased the speed by 100 km/hr. Find the original speed/hour of the plane.
A motor boat whose speed in still water is 18 km/hr takes 1 hour more to go 24 km up stream that to return down stream to the same spot. Find the speed of the stream.