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Two boats start together and race across a 48-km-wide lake and back. Boat A goes across at 48 km/h and returns at 48 km/h. Boat B goes across at 24 km/h, and its crew, realizing how far behind it is getting, returns at 72 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins.
(1) Which boat wins? (Or is it a tie?)

(A) boat A
(B) boat B
(C) it's a tie
.
(2) By how much? answer in km
(3) What is the average velocity of the winning boat? answer needs to be km/h

Respuesta :

Answer:

Part 1)

Boat A will win the race

Part 2)

Boat A will win the race by 48 km as the 2nd boat will reach the other end while boat A will just touches the finish line

Part 3)

average velocity must be zero

Explanation:

As we know that the distance moved by the boat is given as

[tex]d = 48 km[/tex]

now the time taken by the boat to move to and fro is given as

[tex]t = \frac{d}{v}[/tex]

[tex]t = \frac{48 + 48}{48}[/tex]

[tex]t = 2 hrs[/tex]

Time taken by Boat B to cover the distance

[tex]t = \frac{48}{24} + \frac{48}{72}[/tex]

[tex]t = 2.66 h[/tex]

Part 1)

Boat A will win the race

Part 2)

Boat A will win the race by 48 km as the 2nd boat will reach the other end while boat A will just touches the finish line

Part 3)

Since the displacement of Boat A is zero

so average velocity must be zero

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