Question

Out of 1900 km Vishal travelled some distance by bus and some by areoplane . Bus travels with average speed of 60km/hr and the average speed of areoplane is 700km/hr.It takes 5 hours to complete the nourney.Find the distance Vishal travelled by bus

Answer 1

let distance traveled by bus = x

time to travel in bus = x/60


Distance by plane = 1900- x

time to travel in plane = 1900- x / 700

total time = x/60 + 1900- x / 700 = 5

Solving, x = 150 

Distance traveled by bus = 150 km

Answer 2

Given : Total distance travelled = 1900 km.
Average speed of the bus = 60 km/h
Average speed of an aeroplane = 700 km/h.

Total time taken to complete the journey = 5h.

Let the distance travelled by bus = x km & the Distance travelled by aeroplane = 1900 - x.

Time taken by bus = x/60            [ Time = distance/speed]
Time taken by an aeroplane =1900- x / 700

Total time = Time taken by bus +Time taken by an aeroplane

Total time = x/60 + (1900- x) / 700
5 = [700 x + 60(1900 - x) ]/42000
5 × 42000 = 700x + 114000 - 60x
5 × 42000 = 700x - 60x + 114000
5 × 42000 = 640 x + 114000
210000 - 114000  = 640 x
96000 = 640x
x = 96000/640
x = 150

Hence, the Distance travelled by bus = 150 km.

HOPE THIS WILL HELP YOU….