Question

Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 25 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answer 1

10:20am

200mins past 7am

Answer 2

Given : Bus A and Bus B leave the bus depot at 7 am.

Bus A takes 25 minutes to complete its route once and bus B takes 40 minutes to complete its route once.

To find : at what time will they be back at the bus depot together?

Solution:

Bus A takes 25 minutes to complete its route once

Bus B takes 40 minutes to complete its route

To find time when they will be back at the bus depot together we need to find LCM of 25 & 40 Minutes

25 = 5 * 5

40 = 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 5 * 5

= 200

After 200 minutes  Buses will be back at the bus depot together

200 minutes = 3 hr 20 Minutes

7 : AM  +  3 hr 20 Minutes

= 10 : 20 AM

At 10 : 20 AM Buses be back at the bus depot together

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