Problema Solution
The team drives from school at an average speed of 30mph to an airport where a helicopter was waiting. The team boarded the helicopter and flew to a secret Algebra team planning camp at an average speed of 60mph. The entire distance was 150 miles; the entire trip took three hours. Find the distance from the airport to the planning camp.
Answer provided by our tutors
Let
d1 = the distance from school to the airport
d2 = the distance from the airport to the planning camp
v1 = 30 mph the average speed from school to the airport
v2 = 60 mph the average speed from the airport to the planning camp
Since average speed = distance/time follows time = distance/speed.
The entire trip took 3 hours:
d1/v1 + d2/v2 = 3
d1/30 + d2/60 = 3
The entire distance was 150 mi:
d1 + d2 = 150
We need to solver the following system of equations:
d1/30 + d2/60 = 3
d1 + d2 = 150
........
........
d1 = 30 mi
d2 = 120 mi
The distance from the airport to the planning camp is 120 mi.