MATH SOLVE

3 months ago

Q:
# 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?A) 4:07 P.M. B) 5:19 P.M. C) 6:31 P.M. D) 7:43 P.M.

Accepted Solution

A:

Answer:B) 5:19 P.M.Step-by-step explanation:Given that 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. Now we need to find about at what time will trains next arrive at the same time on both tracks.Then next time trains arrive at the same time on both tracks. can be found by taking least common multiple of 16 and 18 minutes.Multiples of 16 and 18 are 16 32 48 64 80 96 112 128 144 16018 36 54 72 90 108 126 144 162 180Least common multiple of both is 144Hence both trains will arrive at the same time after 144 minutesor at (2:55 PM+144 minutes)= (2 hours 55 min)+(144 min) PM= (2 hours 55 min)+(2 hours 24 min) PM= (2 hours 55 min)+(2 hours 24 min) PM= 5 hours 19 minutesHence correct choice is B) 5:19 P.M.