Question

It took the high school hockey team 5h to travel to a tournament in Thunder Bay. They travelled by bus and plane a total distance of 1320km. If the bus averaged 40km/h and the plane averaged 600km/h, determine the time they spent travelling by plane.

Answer 1

It took 2 hours by plane

Explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320 (1)

the total time taken by bus and plane will be represented by:

x + y = 5 (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2) and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

560 y = 1120

y = 1120/ 56

y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.