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gtnhenbr [62]
3 years ago
13

Alex swims at an average speed of 45m/min. How far does he swim in 1 minute and 24 seconds?

Mathematics
1 answer:
aksik [14]3 years ago
6 0

Answer:

63 m        

Step-by-step explanation:

We are given the following in the question:

Average speed of swimming = 45 m/min

Time = 1 minute 24 seconds

Converting time into minutes:

=1 + \dfrac{\text{seconds}}{60}\\\\=1 + \dfrac{24}{60}\\\\=1.4\text{ minutes}

Formula:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

Putting values, we get.

45 = \dfrac{\text{Distance}}{1.4}\\\\\text{Distance} = 45\times 1.4 = 63\text{ m}

Thus, Alex swims for 63 m in 1 minute and 24 seconds.

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Read 2 more answers
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

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# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

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- The formula to find the sum of n terms is

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* Lets solve the problem

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 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
Does it matter what order you add the numbers in the problem
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