two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on Track A every 16 minutes, and they arrive on Track B every 18 minutes. At what time will trains next arrive at the same time on both tracks?
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Answer:
5:19 pm
Step-by-step explanation:
1) i)Make 16 the multiple of its prime factor
16 = 2×2×2×2
ii)Make 18 the multiple of its prime factor
18 = 2×3×3
2)Find the LCM of 16 and 18 = 2×2×2×2×3×3
= 144
3) 144 into hours and mins.
if 60 min = 1 h
144 min = 2 h 24 min
4)Add 2 h 24 min to 2:55 pm
2:55 pm + 2 h 24 min = 3:00 pm + 2 h 19 min
= 5:19 pm
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