Answer:
182 seconds
Step-by-step explanation:
Given:
Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous
Solution:
Time taken for first lap = 50 sec
For second lap
Each subsequent lap takes 20% longer than previous
Previous lap time = 50 sec
second lap = 50 + 20% of 50
second lap [tex]=50+(\frac{20}{100}\times 50)[/tex]
second lap [tex]= 50 + 10[/tex]
second lap [tex]= 60\ sec[/tex]
For third lap
Each subsequent lap takes 20% longer than previous
Previous lap time = 60 sec
Third lap = 60 + 20% of 60
[tex]Third\ lap = 60 + (\frac{20}{100}\times 60)[/tex]
[tex]Third\ lap = 60+2\times 6[/tex]
[tex]Third\ lap = 60+12[/tex]
[tex]Third\ lap = 72\ sec[/tex]
Time taken for 3 laps is equal to sum of all three laps time.
[tex]Tiem\ taken\ for\ 3\ lap = 50+60+72[/tex]
[tex]Tiem\ taken\ for\ 3\ lap = 182\ sec[/tex]
Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps
