The river flows at 2 km/h, as shown. A boat goes from A to B upstream and comes back to A, 24 km each way, in 5 hours in all. Find the speed of the boat in still water.

Question

Accepted Answer

10 km/h. 24x - 2 + 24x + 2 = 5 48x = 5(x^2 - 4) 5x^2 - 48x - 20 = 0 (x - 10)(5x + 2) = 0 . Reject x = -0.4 , so x = 10 km/h.

The river flows at 2 km/h, as shown. A boat goes from A to B upstream and comes back to A, 24 km each way, in 5 hours in all. Find the speed of the boat in still water.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems: Work and Pipes practice