two boats leave the jetty at the same time. one of them returns to the jetty every 25 minutes and the second one returns every 30 minutes. When will the boats next be at the jetty at the same time

150 mins or 2 hrs 30 mins

Step-by-step explanation:

This is simply the LCM (lowest common multiple)

therefore, you find all the prime factors of 25 using a tree diagram resulting in 5^2 and 30 which will be 2 x 3 x 5. Then you multiply all the factors together and you will get 5 x 5 x 2 x 3 = 150

so ...

the answer is after 150 mins

or 2 hours and 30 minutes

150 min or 2 hours 30 min

Step-by-step explanation:

find the common multiple

30 60 90 120 150 180 210 240 270 300

25 50 75 100 125 150

both have 150 so the first time they meet is 150 or 2 hours 30 min