find both speeds

Question

a train travels 160 km in the same time that a plane covers 768 km, If the speed of the plane is 10 km per hr less than 5 times the speed of the train, find both speeds

Answer 1

d = sh

distance = speed times hours

s = d/h

h= d/s

p= 10t -5 where p = plane speed, t = train speed

h =d/s for train = 160/t = d/s for plane = 768/(10t-5)

160/t = 768/(10t-5)

cross multiply

768t = 1600t - 800

1600t - 768t = 832t = 800

t = 800/832 = 200/208 = 100/104 = about .96 = almost 1 km per second = train speed

p = 10t-5 = 2000/208-1040/208 = 960/208 = about 4.62 km per second = plane speed

rounding off, train goes 1 km/sec, plane goes 5 km/sec