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Nimfa-mama [501]
3 years ago
15

An airport offers two shuttles that run on different schedules. If both shuttles leave the airport at 4:00 p.m., at what time wi

ll they next leave the airport together? Shuttle A leaves every 6min shuttle B leaves every 9 min
Mathematics
2 answers:
mario62 [17]3 years ago
4 0
Basically, we need to find the lowest common multiple of 6 and 9....and that would be 18.

so 18 minutes from 4 p.m. is 4:18 p.m. <===
Kay [80]3 years ago
4 0

Answer:

4:18 P.M.

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.

Shuttle A leaves every 6 minutes shuttle B leaves every 9 minutes.

If both shuttles leave the airport at 4:00 P.M.

We will calculate the time of next leave the airport together.

First we will calculate Lowest Common Multiple (LCM) of 6 and 9.

Factors of 6 = 1 × 2 × 3

Factors of 9 =  1 × 3 × 3

LCM = 1 × 3 × 2 × 3 = 18

Therefore, after 18 minutes to 4:00 P.M. that is 4:18 P.M. they next leave the airport together.

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Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

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We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

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