Question

Jim and Bob are racing from the origin to the point (5, 10). Let t be the number of seconds after the start of the race.Jim's position at any time t is given by the parametric equations x = t, y = 2t. Bob's position at any time t is given by the parametric equations x = 5t, y = 10t. Who will win the race? How long does it take each competitor to finish the race?

Answer 1

Answer:

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Answer 2

Answer:

Clearly,Bob is going to win.

Step-by-step explanation:

For final point,

x= 5 and y= 10

Put x= t and x= 5t, compare the time.

For Jim,

t= 5s

For Bob,

t= 5/5 s = 1 s

The person who covers constant distance in lesser time than the other is the winner.