Answer:
First, let's find the time each runner takes to complete one lap around the track.
For Keiko:
Keiko runs 3 laps in 120 seconds.
So, her time per lap
=
120
3
=
40
=
3
120
=40 seconds per lap.
For Leah:
Leah runs 5 laps in 160 seconds.
So, her time per lap
=
160
5
=
32
=
5
160
=32 seconds per lap.
Now, to determine who is the faster runner, we compare the time it takes for each to complete one lap. Leah takes less time per lap (32 seconds) compared to Keiko (40 seconds), so Leah is the faster runner.
Next, let's calculate Leah's speed:
The track's length is 150 meters.
Leah completes one lap (150 meters) in 32 seconds.
Therefore, Leah's speed
=
distance
time
=
150
m
32
s
=
75
16
m/s
=
time
distance
=
32 s
150 m
=
16
75
m/s.
Hence, Leah is the faster runner, with a speed of
75
16
16
75
m/s.
