“The captain of a rafting boat takes his crew down river for 6 hours, covering a total of 56 miles. When he realizes he left one of his passengers behind, he is forced to paddle back upriver for 8 miles. The trip back up took him 3 hours.”
A student used the following system of equations to model the situation given above. Which of the statements is true about the system of equations the student used?
b = the speed of the boat
r = the speed of the current
{8(b-r)=3
{6(b+r)=56
A.The system of equations the student used is correct.
B.The top equation in the system is incorrect.

Question

“The captain of a rafting boat takes his crew down river for 6 hours, covering a total of 56 miles. When he realizes he left one of his passengers behind, he is forced to paddle back upriver for 8 miles. The trip back up took him 3 hours.”
A student used the following system of equations to model the situation given above. Which of the statements is true about the system of equations the student used?
b = the speed of the boat
r = the speed of the current
{8(b-r)=3
{6(b+r)=56
A.The system of equations the student used is correct.
B.The top equation in the system is incorrect.

anonymous · Answer

C.
 
The bottom equation in the system is incorrect.
 

D.
 
Both equations in the system are incorrect.

kendricklamar2014 · Answer

http://openstudy.com/study#/updates/52b39d4ae4b02932bbbf0331

agent0smith · Answer

{8(b-r)=3
this should be
3(b-r) = 8

since the distance is 8 miles, the speed is b-r, and time is 3 hours. d = rt, or distance = rate multiplied by time

anonymous · Answer

so the bottom equation is incorrect. OR the equations the student used or both correct???

kendricklamar2014 · Answer

the bottom equation is incorrect

agent0smith · Answer

Read what I wrote. The TOP equation is the one i corrected.