18 The first bell rings every 25 minutes and the second bell rings every half an hour. The first bell rings at 5.50 a.m. and the second bell rings at 6 a.m. (a) When will they next ring together? (b) How many times will they ring together before 6 p.m.?
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So first you find the LCM, or least common multiple, (can be called LCD, least common denominator).
The LCM of 20, 30, and 50 is basically
10⋅2⋅3⋅5
because you factor out the 10 since that is a common factor.
10⋅2⋅3⋅5=300
This is the number of minutes. To find the number of hours, you simply divide by 60 and get 5 hours. Then you count 5 more hours from 12:00 pm and get 5:00 pm.
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