A bell at provident school rings every 12 minutes and a bell from Soaking School rings every 18 minutes. If…

Question

A bell at provident school rings every 12 minutes and a bell from Soaking School rings every 18 minutes. If both bells rang together at 8:20 am, after how many minutes will they next ring together?

ScanSolve AI Tutor · Accepted Answer

6. Kengele katika shule ya Provident inalia kila baada ya dakika 12 na kengele kutoka shule ya Soaring inalia kila baada ya dakika 18. Ikiwa kengele zote mbili zilia pamoja saa 8:20 asubuhi, baada ya dakika ngapi zitalia pamoja tena?

Ili kujua baada ya muda gani kengele zitalia pamoja tena, tunahitaji kupata Kigawo Kidogo Zaidi cha Pamoja (LCM) cha nyakati zao za kulia.

Tafuta vigawo vikuu vya kila nambari.
Kwa dakika 12:
$12 = 2 \times 6 = 2 \times 2 \times 3 = 2^2 \times 3^1$
Kwa dakika 18:
$18 = 2 \times 9 = 2 \times 3 \times 3 = 2^1 \times 3^2$
Pata LCM kwa kuchukua nguvu ya juu zaidi ya kila kigawo kikuu kinachoonekana katika vigawo vyote.
$\text{LCM}(12, 18) = 2^{\max(2,1)} \times 3^{\max(1,2)}$ $\text{LCM}(12, 18) = 2^2 \times 3^2$ $\text{LCM}(12, 18) = 4 \times 9$ $\text{LCM}(12, 18) = 36$
Hii inamaanisha kengele zitalia pamoja tena baada ya dakika 36.

Jibu ni dakika 36.
$\text{Dakika 36}$

A bell at provident school rings every 12 minutes and a bell from Soaking School rings every 18 minutes. If both bells rang together at 8:20 am, after how many minutes will they next ring together?

Answer

Step-by-step solution

Tafuta vigawo vikuu vya kila nambari.

Pata LCM kwa kuchukua nguvu ya juu zaidi ya kila kigawo kikuu kinachoonekana katika vigawo vyote.

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