Two buses leave a depot together at 7:30 a.m

MATHEMATICS · Single correct · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Two buses leave a depot together at 7:30 a.m. on different routes. Bus A returns to the depot every 24 minutes, while Bus B returns every 32 minutes. (i) After how much time will both buses arrive back at the depot together for the first time after 7:30 a.m.? (ii) By that time, how many trips will Bus A have completed? Select the correct option. (a) 1 h 12 min; 3 trips1\ \text{h}\ 12\ \text{min};\ 3\ \text{trips} (b) 0 h 56 min; 2 trips0\ \text{h}\ 56\ \text{min};\ 2\ \text{trips} (c) 1 h 36 min; 4 trips1\ \text{h}\ 36\ \text{min};\ 4\ \text{trips} (d) 1 h 36 min; 5 trips1\ \text{h}\ 36\ \text{min};\ 5\ \text{trips}

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