MATH SOLVE

8 months ago

Q:
# A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?3 mph 4 mph5 mph

Accepted Solution

A:

With the current 40 miles per hour

Against the current 30 miles per hour

bv means boat velocity with NO current

cv means current velocity

A) bv + cv = 40 mph

B) bv - cv = 30 mph

Adding both equations:

2bv = 70

boat velocity with NO CURRENT = 35 miles per hour

Using equationA

bv + cv = 40

35 + cv = 40

current velocity = 5 miles per hour

Against the current 30 miles per hour

bv means boat velocity with NO current

cv means current velocity

A) bv + cv = 40 mph

B) bv - cv = 30 mph

Adding both equations:

2bv = 70

boat velocity with NO CURRENT = 35 miles per hour

Using equationA

bv + cv = 40

35 + cv = 40

current velocity = 5 miles per hour