Zain goes swimming. He swims the first length of the pool in 2.5 minutes. The time he takes to swim each length is 10 seconds more than he took to swim the previous length.
A. Find the time Zain takes to swim the fifth length.
B. Find the time taken for Zain to swim a total of 10 lengths of the pool.
2.5 min = 150 sec, so
A. 150+4*10
B. S10 = 10/2 (2*150 + 9*10)
Hoi people
To find the time Zain takes to swim the fifth length, we can use the given information:
First length: 2.5 minutes
Second length: 2.5 + 10 seconds = 2.5 + 0.1667 minutes = 2.6667 minutes (rounded to 4 decimal places)
Third length: 2.6667 + 10 seconds = 2.6667 + 0.1667 minutes = 2.8333 minutes (rounded to 4 decimal places)
Fourth length: 2.8333 + 10 seconds = 2.8333 + 0.1667 minutes = 3.0000 minutes
So, the time Zain takes to swim the fifth length would be:
Fifth length: 3.0000 + 10 seconds = 3.0000 + 0.1667 minutes = 3.1667 minutes (rounded to 4 decimal places)
Therefore, Zain takes 3.1667 minutes to swim the fifth length.
To find the time taken for Zain to swim a total of 10 lengths of the pool, we can add up the times for each length. Given that the time for each length increases by 10 seconds, we can calculate as follows:
Total time for 10 lengths:
2.5 + 2.6667 + 2.8333 + 3.0000 + 3.1667 + 3.3333 + 3.5000 + 3.6667 + 3.8333 + 4.0000
Adding these values together, we get:
10 x 2.5 + (10 x 0.1667) = 25 + 1.667 = 26.667 minutes (rounded to 3 decimal places)
Therefore, Zain takes 26.667 minutes to swim a total of 10 lengths of the pool.
To find the time Zain takes to swim the fifth length, we can use the information given. We know that the time Zain takes to swim each length is 10 seconds more than the previous length.
First, let's determine the time Zain took to swim the second length. Since the first length took 2.5 minutes, which is equivalent to 150 seconds, we can add 10 seconds to get:
150 seconds + 10 seconds = 160 seconds
Now, let's determine the time Zain took to swim the third length. We'll add another 10 seconds to the time for the second length:
160 seconds + 10 seconds = 170 seconds
Following the same pattern, we can determine the time Zain took to swim the fourth length:
170 seconds + 10 seconds = 180 seconds
Finally, we can determine the time Zain took to swim the fifth length:
180 seconds + 10 seconds = 190 seconds
Therefore, Zain takes 190 seconds to swim the fifth length.
To find the time taken for Zain to swim a total of 10 lengths of the pool, we need to add up the times for each length. We know that the time Zain took to swim the first length is 2.5 minutes or 150 seconds.
To find the time for the second length, we add 10 seconds to the time for the first length:
150 seconds + 10 seconds = 160 seconds
For the third length, we again add 10 seconds to the time for the second length:
160 seconds + 10 seconds = 170 seconds
We can continue this pattern for the remaining lengths:
Length 4: 170 seconds + 10 seconds = 180 seconds
Length 5: 180 seconds + 10 seconds = 190 seconds
Length 6: 190 seconds + 10 seconds = 200 seconds
Length 7: 200 seconds + 10 seconds = 210 seconds
Length 8: 210 seconds + 10 seconds = 220 seconds
Length 9: 220 seconds + 10 seconds = 230 seconds
Length 10: 230 seconds + 10 seconds = 240 seconds
Therefore, Zain takes a total of 240 seconds to swim 10 lengths of the pool.