A motor boat whose speed in still water is 18 km/h takes 1 hour more to go 24 km upstream than to return downstream. With stream speed x km/h, this gives x^2 + 48x - 324 = 0. Find the speed of the stream in km/h.

Question

Accepted Answer

6. 24/18-x - 24/18+x = 1 leads to x^2 + 48x - 324 = 0. x = -48 ± √2304 + 12962 = -48 ± 60/2 = 6 or -54. Stream speed = 6 km/h.

A motor boat whose speed in still water is 18 km/h takes 1 hour more to go 24 km upstream than to return downstream.
With stream speed $x$ km/h, this gives $x^{2} + 48 x - 324 = 0$ .
Find the speed of the stream in km/h.

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More Class 10 The Quadratic Formula practice

A motor boat whose speed in still water is 18 km/h takes 1 hour more to go 24 km upstream than to return downstream.With stream speed x km/h, this gives x2+48x−324=0.Find the speed of the stream in km/h.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A motor boat whose speed in still water is 18 km/h takes 1 hour more to go 24 km upstream than to return downstream.
With stream speed $x$ km/h, this gives $x^{2} + 48 x - 324 = 0$ .
Find the speed of the stream in km/h.