contestada

Jonathon and Samantha row their canoe 26 miles downstream in 2 hours. After a picnic, they row back upstream. After 3 hours they only travel 15 miles. Assuming that they canoe at a constant rate and the river's current is constant, find the speed at which Jonathon and Samantha can row in still water.

Respuesta :

Answer:9 mph

Step-by-step explanation:

Given

During downstream it took 2 hr to cover 26 miles

During upstream it took 3 hr to cover 15 miles

Let v be the canoe velocity and [tex]v_0[/tex] be the stream velocity

thus

[tex]2=\frac{26}{v+v_0}[/tex]

[tex]v+v_0=13[/tex]------1

and [tex]3=\frac{15}{v-v_0}[/tex]

[tex]v-v_0=5[/tex]--------2

From 1 & 2 we get

2v=18

v=9 mph

[tex]v_0=4 mph[/tex]

Otras preguntas