Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?

Answers

Answer 1

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

[tex]8=\underline{2}\times 2\times 2[/tex]

[tex]22=\underline{2}\times 11[/tex]

Common is 2.

Therefore the LCM will be:

[tex]2\times 2\times2\times 11 = \bold{88}[/tex]

So, the answer is 88 s.


Related Questions

Other Questions
which among the choices is not a career opportunities of entrepreneurship Aquanauts explore the area called? PLZ HELP MEIn 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011. Write an expression for the price of gold per ounce in 2016. Explain how you found the expression. Which shows another way to write 9.54?O 0.5 + 0.04O 9+ 0.4 + 0.05O (9 * 1) + (5 x 0.1) + (4 x 0.01)O (9 x 0.1) + (5 x 0.01) + (4 x 0.001) Jayvon has 33.6 points in a competition. He loses 5.5 points,Write and then evaluate an addition expression to determine Jayvon's current points. 600 students are studying in a privateschool, the average monthly fee of astudent is Rs. 1200. How much amount fortax does the school pay to the governmentas education service tax at the rate of 1% ina year? * if triangle ocd triangle JAL, then which of the following statements are true? Compare: -7 -4PLEASE HELP ME! 12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she packin 8 hours? mental math again 60x40x2 Which narrative point of view is used in this excerpt from The Lilys Quest by Nathaniel Hawthorne?So one breezy and cloudless afternoon Adam Forrester and Lilias Fay set out upon a ramble over the wide estate which they were to possess together, seeking a proper site for their temple of happiness. They were themselves a fair and happy spectacle, fit priest and priestess for such a shrine, although, making poetry of the pretty name of Lilias, Adam Forrester was wont to call her "Lily" because her form was as fragile and her cheek almost as pale. As they passed hand in hand down the avenue of drooping elms that led from the portal of Lilias Fay's paternal mansion they seemed to glance like winged creatures through the strips of sunshine, and to scatter brightness where the deep shadows fell. Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works. Which of the following was the African American killed in the Boston Massacre?(5 points)Samuel AdamsCrispus AttucksPaul RevereJohn Adams It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send? More on Linear Equations & Linear Systems: Question 1How many solutions does the system of equations belowhave?y - 2x + 2y-r-1Select one:noneinfinitely manyO o o oonetwo a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min please help!!!!!!!!!!!!!! Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals. Simplify the algebraic expression by combining like (or similar) terms.5+9x+2 Consider the following scenario:Cold Goose Metal Works Inc.s income statement reports data for its first year of operation. The firms CEO would like sales to increase by 25% next year.1. Cold Goose is able to achieve this level of increased sales, but its interest costs increase from 10% to 15% of earnings before interest and taxes (EBIT).2. The companys operating costs (excluding depreciation and amortization) remain at 70.00% of net sales, and its depreciation and amortization expenses remain constant from year to year.3. The companys tax rate remains constant at 40% of its pre-tax income or earnings before taxes (EBT).4. In Year 2, Cold Goose expects to pay $300,000 and $2,306,475 of preferred and common stock dividends, respectively.Complete the Year 2 income statement data for Cold Goose, then answer the questions that follow. Round each dollar value to the nearest whole dollar.Cold Goose Metal Works Inc. Income Statement for Year Ending December 31 Year 1 $30,000,000 21,000,000 1,200,000 $7,800,000$ Year 2 (Forecasted) Net sales Less: Operating costs, except depreciation and amortization Less: Depreciation and amortization expenses Operating income (or EBIT) Less: Interest expense Pre-tax income (or EBT) Less: Taxes (40%) Earnings after taxes Less: Preferred stock dividends Earnings available to common shareholders Less: Common stock dividends Contribution to retained earnings 1,200,000 780,000 $7,020,000 2,808,000 $4,212,000s 300,000 $3,912,000 1,895,400 $1,605,525 $2,519,025 Given the results of the previous income statement calculations, complete the following statements: In Year 2, if Cold Goose has 25,000 shares of preferred stock issued and outstanding, then each preferred share should expect to receive____________ in annual dividends If Cold Goose has 200,000 shares of common stock issued and outstanding, then the firm's earnings per share (EPS) is expected to change from __________ in Year 1 to in ________ Year 2 Cold Goose's before interest, taxes, depreciation and amortization (EBITDA) value changed from _______ in Year 1 to in ______ Year 2 It is __________ to say that Cold Goose's net inflows and outflows of cash at the end of Years 1 and 2 are equal to the company's annual contribution to retained earnings, $1,605,525 and $2,519,025, respectively. This is because of the items reported in the income statement involve payments and receipts of cash