A motor boat whose speed is 18 km/hr in still water takes 1hr more to go 24 km
Quadratic Equations (10)A motor boat whose speed is 18 km/hr in still water takes 1hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
Answer
Let the speed of stream be x km/hr.
The speed of the boat upstream = (18 - x) km/hr
Speed of the boat downstream = (18 + x) km/hr
As given in the question,
$ \frac{24}{18 -x} - \frac{24}{18 + x} = 1 $
x2 + 48x - 324 = 0
(x + 54)(x - 6) = 0
$x \ne -54, .. x = 6 $
Speed of the stream = 6 km/hr.
Exam Year:
2018
Related Questions
- In a class test, the sum of Arun’s marks in Hindi and English is 30
- A quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively, is
- Find the roots of the quadratic equation $x^2 − x − 2 = 0 $
- If ad $\ne$ bc, then prove that the equation
- Write all the values of p for which the quadratic equation $x^2 + px + 16 = 0$
- A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km