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alexandr402 [8]
3 years ago
14

A motorboat can maintain a constant speed of 44 miles per hour relative to the water. The boat makes a trip upstream to a certai

n point in 54 minutes; the return trip takes 45 minutes. What is the speed of the current
Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Distance upstream = (34-c)(39/60) miles

--------------------------

Distance downstream = (34+c)(29/60) miles

-----------------------------------------------

Equation:

distance = rate*time

distance up = distance down

(34-c)(39/60) = (34+c)(29/60)

Multiply both sides by 60 to get:

39(34-c) = 29(34+c)

39*34 - 39c = 29*34 + 29c

68c = 340

c = 5 mph speed of the current

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\sf\ .04=\frac{4}{100}\\\\x=\frac{4}{100}\times350\\\\x=\frac{4\times350}{100}\\\\x=\frac{1400}{100}={\boxed{14}
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