she can go 6 miles upstream in one and a half hours. going downstream, she goes 24 miles in the same time. determine the speed at which she kayaks and the speed of the river's current

llm

Answered on Thu Mar 24 2022

Let the speed of boat be x

And, speed of the current be y

Formula : Speed = distance/time

x - y = 6/1.5

x - y = 4 …..(1)

x + y =24/1.5

x + y = 16 …..(2)

now, by elimination method :

Adding equation 1 and 2, we get

x - y + x + y = 4 + 16

2x = 20

x = 20/2

x = 10

Now, putting value of x in equation 1, we get

10 - y = 4

y = 10 - 4

y = 6

Thus, the speed of boat is 10 mph and speed of current is 6 mph