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.

Question

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.

anonymous · Answer

let da = 1400 km
let Va = speed of plane A
let ta = time a

let Vb = speed of plane B
let db = 1000 km
let tb = time b

db = Vb*tb
1000 km = (Va + 50 km/h)(da/Va - 3h)
1000 km = (Va + 50 km/h)(1400km/Va - 3h)

now solve for Va
add 50 km/h to get Vb

anonymous · Answer

oh a relationship between da, Va and ta may be helpful
da = Va*ta
db = Vb*tb

anonymous · Answer

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