Two forest rangers leave base and travel to different parts of the forest.

simone averages 70 km/hr along a straight track in a direction 25°, while bruce averages 80 km/hr in a direction 135°. after 1.5 hours they stop and make radio contact.

a) how far have they each travelled?

b) how far apart are they?

c) simone travels directly to join up with bruce. what bearing should she follow?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.