Two rafts are traveling In opposite directions on a straight river. The raft going with the current is traveling at a speed of 12 mph. The raft going against the current is traveling at a speed of 70 miles per hour. Both rafts travel the river for two hours. Which equation represents the situation? Assume the raft traveling with the current travels X miles in the raft traveling against the current travels y miles.

A. 12/x - 7/y = 1/2

B. 12x + 7y = 2

C. x/12 - y/7 = 2

D. x/12 + y/7 = 4

E. 12x + 7y = 4

Question

Julien Friedman

Mathematics

1 August, 18:24

Two rafts are traveling In opposite directions on a straight river. The raft going with the current is traveling at a speed of 12 mph. The raft going against the current is traveling at a speed of 70 miles per hour. Both rafts travel the river for two hours. Which equation represents the situation? Assume the raft traveling with the current travels X miles in the raft traveling against the current travels y miles.

A. 12/x - 7/y = 1/2

B. 12x + 7y = 2

C. x/12 - y/7 = 2

D. x/12 + y/7 = 4

E. 12x + 7y = 4

+1

Answers (1)

Know the Answer?

Cayden Singleton · Answer 1

Time = (distance) / speed

Time taken by the raft going with the current to travel x miles is:

12/x hours

Time taken by the raft going against the wind is:

7/y

Total time taken for both raft is 4 hours thus:

12/x+7/y=4

hence the answer is:

D. x/12 + y/7 = 4