Use least commin multiple or greatest common divisor to solve the prob

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-08-09

Use least commin multiple or greatest common divisor to solve the problem.
Rob can complete his bus route in 6 hours. Joan can complete her bus route in 4 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.
A) 9:00 am
B) 7:00 am
C) 3:00 pm
D) Not enough information given to tell.

Answer & Explanation

Anonym

Anonym

Skilled2021-08-10Added 108 answers

Step 1
Given- Rob can complete his bus route in 6 hours. Joan can complete her route in 4 hours. If they both leave the terminal at 3:00 am and after each completed route return to the terminal,
To find- The next time they would leave the terminal at the same time.
Concept Used- To find the time at which they leave terminal , the concept of least common multiple can be used here.
Step 2
Explanation- As per the question, Rob can complete his bus route in 6 hours. Joan can complete her route in 4 hours.
Here using the least common multiple, so we have to find the multiples of 4 and 6 which are given below,
Multiple of 4=4,8,12,16,20
Multiple of 6=6,12,18,24,30.
From the above multiples, we see that 12 is the common multiple of 4 and 6.
So, the least common multiple of 4 and 6 is 12.
So, they will meet at the terminal after (3:00am+12hours)=3:00 pm.
Answer: Hence, the next time they would leave the terminal at 3:00 pm, which is option C.

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