Question

an aeroplane flies 3500km in the same time a train covers 600km.if the speed of the aeroplane is 50km/h more than five times the speeds if the trains,what are the speeds of the train and the aeroplane?

Answer 1

Let speed of train be 'x km/hrs'
then speed of aeroplane will be
'5x+50km/hrs'
distance =speed ×time
since time taken by train and aeroplane is same then
3500/5x+50=600/x
3500x =30000+3000x
500x=30000
x=60km/hrs
train speed =60km/hrs
and aeroplane soeed is =350km/hrs

Answer 2

Let speed of aeroplane =x and obtain =y

as given in question

x

3500

​  

=  

y

600

​  

 

or 35y=6x →(1)

also given x=5y+50 →(2)

using equation (2) in equation (1), we get

35y=6(5y+50)

35y=30y+300

∴5y=300

∴y=60km/h then x=5y+50

=300+50

=350 km/h.