Buses to acton leave a bus station every 24 minutes. Buses to barton leave the same bus station every 20 minutes. A bus to acton and a bus to barton both leave the bus station at 9.00am

Answer: 11a. m

Step-by-step explanation:

Here is the complete question:

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9 00 am. When will a bus to Acton and a bus to Barton next leave the bus station at the same time?

For us to solve this, we have to find the least common multiple of 24 and 20 which is finding the multiples of 20 and 24.

20 = 20,40,60,80,100,120

24 = 24,48,72,96,120

The least common multiple of 20 and 24 is 120min. Since 60 minutes make 1 hour, 120 minutes will be 2 hours.

Since they both leave at 9a. m. The next bus will leave at:

9am + 2hours = 11am