The bus that travels from St. Louis to Chicago and back

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Fri Jun 01, 2018 2:25 pm

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The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?

A. 16:00.
B. 18:00.
C. 20:00.
D. 22:00.
E. 24:00.

The OA is E.

Bus one frequency is 6 hours
Bus two frequency is 4 hours
they will meet again after LCM(6,4)=12 hours
now, both buses arrived at 12 the next time they will meet is at 12+12 = 24:00

Please, can anyone explain another way to solve this PS question? Thanks!

Source: Beat The GMAT — Problem Solving | Fri Jun 01, 2018 2:25 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Sat Jun 02, 2018 9:02 am

Hi,

Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 4 hours
Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 6 hours
Time taken by both buses to meet again in St. Louis will be LCM of 4 and 6 = 12
If the buses start at 12:00 o'clock from St. Louis, they will meet again in St. Louis at 24:00 hours

Answer E.

Regards!

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Jun 12, 2018 10:17 am

BTGmoderatorLU wrote:The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?

A. 16:00.
B. 18:00.
C. 20:00.
D. 22:00.
E. 24:00.

Since the LCM of 4 and 6 is 12, the buses will meet again 12 hours later or at 24:00.

Answer: E

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