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e-lub [12.9K]
3 years ago
10

The line a bus arrives at the bus stop every 25 minutes, and the line b bus arrives every 15 minutes.Both are at the stop right

now. On how many will both be at the bus stop again
Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

  after 75 minutes

Step-by-step explanation:

The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:

1. List the factors of each number and find the product of the unique ones:

  15 = 3·5

  25 = 5²

The LCM is 3·5² = 75.

__

2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...

  15·25/5 = 75

__

Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:

  15, 30, 45, 60, <em>75</em>, 90

  25, 50, <em>75</em>, 100

__

The two buses will appear together again after 75 minutes.

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