Question

A college offers shuttle service from Dickson Hall or Lot B to its

Answer 1

Answer:

At 10:30 A.M.

Step-by-step explanation:

A college offers shuttle service from Dickson Hall or Lot B to its  campus quad.

At 9:10 A.M the first shuttle leaves from their locations for the campus.

If the shuttles leave from Lot B every 10 minutes and leave from Dickson Hall every 12 minutes, then both the shuttles will leave their origin at the same time after 60 minutes.

This is because 60 is the smallest multiple of 10 and 12 which is common for them.

Therefore, 10:30 A.M. is the next time when both shuttles will depart for the campus at the same time. (Answer)

Answer 2

Answer:

10:10 am

Step-by-step explanation:

Multiples of 12: 12,24,36,48,60. Then the lowest common factor of 10 minutes and 12 minutes is 60 minutes.

If the first college shuttle  departs from Lot B at 9:10 A.M then the sixth will depart 6*10 = 60 minutes late, that is at 10:10 am

If the first college shuttle  departs from Dickson Hall at 9:10 A.M then the fifth will depart 5*12 = 60 minutes late, that is at 10:10 am