Question

6-2

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TEKS 7(1/6), 7(
48)
Three teams train turtles for the Third Annual Turtle Trot, a
30-foot race. If the turtles trot at their training pace, which turtle
will win the race? Sy how many minutes? Explain your reasoning,
Team 1 Turtle
18 feet in 6 minutes
Team 2 Turtle
12 feet in 4 minutes
Team 3 Turtle
10 feet in 2 minutes

Answer 1

Team 3 Turtle, by 4 minutes

Explanation:

The speeds of each of the turtles can be computed from ...

speed = distance/time

Then for each of the turtles, the training pace is ...

Team 1 Turtle: (18 ft)/(6 min) = 3 ft/min

Team 2 Turtle: (12 ft)/(4 min) = 3 ft/min

Team 3 Turtle: (10 ft)/(2 min) = 5 ft/min

The times required to cover the 30 ft distance at these paces are ...

time = distance/speed

3 ft/min ⇒ (30 ft)/(3 ft/min) = 10 min

5 ft/min ⇒ (30 ft)/(5 ft/min) = 6 min

The 2nd-place finishers will take 10-6=4 minutes longer.

The expected winner is Team 3 Turtle by 4 minutes.