A school is organising an excursion for 144 boys and 108 girls.
MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers
Problem
A school is organising an excursion for 144 boys and 108 girls.
(i) The students are to be divided into identical groups, each group containing the same number of boys as well as the same number of girls. Find the greatest possible number of such groups and the composition of each group.
(ii) Three buses with seating capacities of 40, 45 and 60 students respectively set out together at 6:00 a.m. for the excursion. Each bus completes one round trip and returns to the school in 90 minutes, 120 minutes and 150 minutes respectively. At what time will the three buses again leave the school together?
(iii) By that time, how many round trips will each bus have completed?