Math  /  Algebra

QuestionSeconds to tad 200 km dan the arar. \qquad
2. A river flows north with a current of 4.0 meters per second. a. If it takes a motor boat 7.0 minutes to travel 1.5 km

Part A upstream (against the current), at what speed can the motor whet suedat push the boat through the water? 7 min+1 s2 mm7 \mathrm{~min}+1 \mathrm{~s}^{2} \mathrm{~mm} b. How long will it take the boat to travel 2 km ? GG G:G: n! E:
8! 9 :

Studdy Solution
For downstream travel, the effective speed is v+4.0 v + 4.0 .
The distance to travel downstream is 2 km, which is: 2 km=2000 meters 2 \text{ km} = 2000 \text{ meters}
Calculate the time taken using the formula time=distancespeed \text{time} = \frac{\text{distance}}{\text{speed}} : time=20007.57+4.0 \text{time} = \frac{2000}{7.57 + 4.0}
time=200011.57172.85 seconds \text{time} = \frac{2000}{11.57} \approx 172.85 \text{ seconds}
Convert time back to minutes if needed: 172.85 seconds2.88 minutes 172.85 \text{ seconds} \approx 2.88 \text{ minutes}
The speed of the motorboat in still water is 7.57 meters per second 7.57 \text{ meters per second} , and the time to travel 2 km downstream is approximately 2.88 minutes 2.88 \text{ minutes} .

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