A boat moves at 10.0 m/s relative to the water.If the boat is in a river where the current is 2.00 m/s,how long does it take the boat to make a complete round trip of 1 000 m upstream followed by a 1 000-m trip downstream?
A)200 s
B)203 s
C)208 s
D)250 s

Question

Quizplus · Accepted Answer

Let's first calculate the time taken to travel 1000m upstream:
Time taken = distance/speed relative to the water
Speed of boat upstream = 10 - 2 = 8 m/s
Time taken to travel 1000m upstream = 1000/8 = 125 s

Now, let's calculate the time taken to travel 1000m downstream:
Speed of boat downstream = 10 + 2 = 12 m/s
Time taken to travel 1000m downstream = 1000/12 = 83.33 s

Total time taken for round trip = time taken to go upstream + time taken to go downstream
= 125 s + 83.33 s
= 208.33 s

Rounding off to the nearest second, we get the answer as 208 s (option C).

A Boat Moves at 10