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The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time?


Sagot :

They will both leave at the same time again at 8:40

Multiples of a number are the numbers that a number can be divided by without any remainder.

The buses X and Y will leave at the same time by 8:40 am

To calculate when buses X and Y will leave at the time, we would have to find the Lowest Common Multiple of 20 and 25 minutes.

Find and list multiple until the first common multiple is found. This is the lowest common multiple.

Multiples of 20:

20, 40, 60, 80, 100, 120, 140

Multiples of 25:

25, 50, 75, 100, 125, 150

Therefore,

LCM(20, 25) = 100

The LCM is 100 minutes

Converting 100 minutes

60 minutes = 1 hour

100 minutes = ?

Cross Multiply

100 minutes x 1 hour / 60 minutes

= 1 2/3 hours.

This can be rewritten as :

= 1 hr 40 minutes

Adding this to 7am

7 am + 1 hr 40 minutes = 8 : 40am

Therefore, the buses X and Y will leave at the same time by 8:40 am

To learn more, visit the link below:

https://brainly.com/question/24700269