Plane B travels 1000 km at a speed 50 km
Are you sure u copied the sentence correct cuz the unit of speed is km/hr (m/s) in SI
Airplane A travels
1400
km at a certain speed. Plane B travels
1000
km at a speed
50 km divided by h
faster than plane A in 3 hrs less time. Find the speed of each plane.
3 answers
Airplane A travels
1400 km at a certain speed. Plane B travels
1000
km at a speed
50 km/h faster than plane A in 3 hrs less time. Find the speed of each plane
1400 km at a certain speed. Plane B travels
1000
km at a speed
50 km/h faster than plane A in 3 hrs less time. Find the speed of each plane
speed of slower plane --- x km/h
speed of faster plane --- x+50 km/h
1400/x - 1000/(x+50) = 3
times x(x+50)
1400(x+50) - 1000x = 3x(x+50)
1400x + 70000 - 1000x = 3x^2+ 150x
3x^2 - 250x - 70000 = 0
(x - 200)(3x + 350) = 0
x = 200 or a negative, which is rejected
The slower plane can go 200 km/h
the faster one goes 250 km/h
speed of faster plane --- x+50 km/h
1400/x - 1000/(x+50) = 3
times x(x+50)
1400(x+50) - 1000x = 3x(x+50)
1400x + 70000 - 1000x = 3x^2+ 150x
3x^2 - 250x - 70000 = 0
(x - 200)(3x + 350) = 0
x = 200 or a negative, which is rejected
The slower plane can go 200 km/h
the faster one goes 250 km/h
1 answer