Problems on Quadratic Equation2

In this page problems on quadratic equation2 we are going to see how to solve word problems on the topic quadratic equation.

Questions

Solution

(31) An express train makes run 240 km t a certain speed. Another train whose speed is 12 km/hr less takes an hour longer to make the same trip. Find the speed of the express train.

Solution

(32) A train covers a distance of 600 km at x km/hr. Had the speed been (x + 20) km/hr, the time taken to cover the distance would have been reduced by 5 hours.Write the equation in x and solve it to calculate x.

Solution

(33) An aeroplane traveled a distance of 400 km at an average speed of x km/hr. On the return journey,the speed was increased by 40 km/hr. Write down an expression for the time taken for (i) the onward journey and (ii) the return journey. If the journey took 30 minutes less than  onward journey,write down an equation in x and its value.

Solution

(34) The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.

Solution

(35) The speed of the boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hrs. Find the speed of the stream.

Solution

problems on quadratic equation2