Question

out of 1900km vishal travelled some distance by bus and some by aeroplane bus travels with average speed 60km/hr and the average speed of aeroplane is 700km/hr it takes 5 hour to complete the journey find the distance vishal travelled by bus

Answer 1

let,
distance travelled by bus be x
and distance travelled by aeroplane=(1900-x)

time taken by bus to cover distance be t
and time taken by aeroplane to cover distance =t'

given,
average speed of bus =total distance covered/total time taken
60 =x/t
t =x/60
similarly,
average speed of aeroplane =(1900-x) /t'
700 =1900-x/t'
t'=1900-x/700
given,
time taken to travel whole journey =5
time taken by bus+time taken by aeroplane=5
x/60+1900-x/700=5
35x+3(1900-x)/2100=5
35x+5700-3x/2100=5
35x+5700-3x=10500
32x=4800
x=4800/32
x=50
the distance travelled by bus= 50km