The time for each lap is 40.5 sec.
Step-by-step explanation:
Given,
He completed 200 m in 2 min 42 sec.
Each lap = 50 m
2 min 42 sec = 162 sec
To find the time for each lap.
Method
We will apply unitary method.
50 m = 1 lap
1 m = [tex]\frac{1}{50}[/tex] lap
200 m = [tex]\frac{1}{50}[/tex]×200 laps
= 4 laps
Now,
He completed 4 laps in 162 sec
So, for 1 lap he took [tex]\frac{162}{4}[/tex] sec = 40.5 sec
Hence,
The time for each lap is 40.5 sec.
