Question

5 guns are fired at intervals of 2,3,5,6 and 10 seconds respectively at what interval will they be fire together and how many times will it be fired during that time​

Answer 1

$Five guns are fired at interval 2 , 3 , 5 , 6 and 10 second . </p><p></p><p>intervals in which they be fired together = LCM { 2, 3 , 5 , 6, 10 } </p><p></p><p>so, LCM { 2 , 3 , 5 , 6 , 10} = 30 </p><p></p><p>hence, time intervals = 30 second in which they be fired together.</p><p></p><p>no of firing by gun = time interval in which they fired together /time interval they fired individual .</p><p>so, </p><p>for First gun </p><p>number of firing = 30/2 = 15 </p><p></p><p>for second gun </p><p>number of firing = 30/3 = 10 </p><p></p><p>for 3rd gun </p><p>number of firing = 30/5 = 6</p><p></p><p>for 4th gun </p><p>number of firing = 30/6 = 5 </p><p></p><p>for 5th gun </p><p>number of firing = 30/10 = 3</p><p> \\ \\ hope \: thi \: helps \: uhhh$

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Answer 2

time interval EQUAL TO L.C.M. =2×3×5×6×10
NO. OF TIME FIRED EQUAL TO HCF = AS COMMON FACTOR OS 1 TIME ONLY

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