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Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to do its route and bus B takes 35 minutes to complete its route. At what time are they both back at the bus depot together? Give your answer as a 12-hour clock time.

Respuesta :

calculista

Answer:

8:30 pm

Step-by-step explanation:

step 1

Decompose the numbers in prime factors

[tex]30=(2)(3)(5)\\35=(5)(7)[/tex]

step 2

Find the LCM

The LCM of 30 min and 35 minutes will be given as

[tex]LCM=(2)(3)(5)(7)=210\ min[/tex]

step 3

Adds 210 minutes to the starting time

First, converting 210 minutes to hours

Remember that

[tex]1\ h=60\ min[/tex]

will need dividing 210 by 60

[tex]210/60=3.5\ h[/tex]

therefore

5:00 pm+3.5 h=8:30 pm

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