MathDB

A river is bounded by the lines

x=0

and

x=25

, with a current of 2 units/s in the positive y-direction. At

t=0

, a mallard is at

(0, 0)

, and a wigeon is at

(25, 0)

. They start swimming with a constant speed such that they meet at

(x,22)

. The mallard has a speed of 4 units/s relative to the water, and the wigeon has a speed of 3 units/s relative to the water. Find the value of

x

.
2022 CCA Math Bonanza Individual Round #11

Problem Statement