Imelda, susan, and clara are driving go-carts around a track. imelda takes 14 minutes, susan takes 9 minutes and clara takes 10 minutes to drive one lap. suppose all three of them start together at a point and drive at their same speeds. after how many minutes would all three meet again?

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.