Question

Two taxis leave the station at the same time. Taxi A comes back to the station every 45 minutes. Taxi B comes back to the station every 27 minutes. In how many minutes will both taxis be back at the station?

Answer 1

45=3•3•5 and 27 = 3•3•3. therefore l.c.m.(45,27) = 5•3^3 = 135. both taxis be back at the station after 135 minutes