Question

Solving a distance, rate, time problem using a system of linear equations

Answer 1

@TylerD

Answer 2

@ziqbal103 @aryandecoolest

Answer 3

so it travels at 25mph upstream and 37mph downstream

Answer 4

yes it does

Answer 5

i think you can just take an average of the 2 to find it in still water

Answer 6

im not sure how id do this with a system of linear equations though

Answer 7

but why do you do so? that is the part i dont understand

Answer 8

so i get 31 mph in still water

with a water current at 6

Answer 9

@TylerD

Answer 10

It easy calculate speed upstream and downstream and then substitute in this:
\[U=1/2(a+b)\]
\[V=1/2(a-b)\]
where a and b are speed downstream and upstream
and U and V are speed of boat in still water and in stream respectively...

Answer 11

ok..i was confused somewhere but now i get it. Thank u guys!!!!

Answer 12

i just know from physics

half of Velocity final + velocity initial = avg velocity

Answer 13

oooh...that could wok too!!! there seem to be so many ways to do this

Answer 14

Let the speed of the boat in still water be x and the speed of the current be y.
While going upwards, speed of boat = x-y
time = 4 hours
distance = 100 miles
speed = dist/time
x-y = 100/4 = 25

Answer 15

continue... @Brainybeauty

Answer 16

Okay
So
while going downwards, speed of boat = x+y
time = 4 hours
distance = 148 miles
speed = dist/time
x+y = 148/4 = 37

Answer 17

so then i find the value of x and the value of y?

Answer 18

So you can find x and y now?

Answer 19

yes

Answer 20

You basically have to make two equations from the given information and then solve them to get the answer. It is as simple as that.

Answer 21

amazing! thank you soooo much

Answer 22

U R welcome! :)