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Method 1 :
400 x (3.5 + 4.5) = 3200
Adrian : Ben : Total
1400 : 1800 : 3200
2800 : 3600 : 6400

Method 2 :
400/(3.5 + 4.5) = 50 (Both would meet every 50 s)
50 x 3.5 = 175 (distance Adrian jogged every 50 s)
LCM of 175 and 400 is 25 x 7 x 16 = 2800 

Ans : 2800 m.

1 Reply 1 Like ✔Accepted Answer

HI ALFRETZTAY,

Please kindly elaborate this Part ” LCM of 175 and 400 is 25 x 7 x 16 = 2800 ”  

Thank you very much.

 

 

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Hi ATM82517,

175, 350, 525, … 2800

400, 800, 1200, ,,, 2800

2800 is the least common multiple of 175 and 400.

I hope I have elaborated sufficiently; and you are most welcome.

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Hi Alfretztay:

Thanks. may i know what type of Question that i need to apply this “LCM” ? thanks in advance.

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Note : The LCM concept is useful in the calculation of time and distance, time and work, pipes and cisterns and so on. The tricks used to find LCM of two or more numbers aid in finding quick solutions and thus reduce time during exams. This concept is important in solving problems related to racetracks, traffic lights,and other similar scenarios.

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well understand. thank you so much for enlighten me. 

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You are most welcome.

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