Question

out of 1900 km, vishal travelled some distance by bus and some by aeroplane. bus travels with average speed of 60km per hour and average speed of aeroplane is 700 km per hour. it takes 5 hours to complete journey. find distance travelled by bus

Answer 1

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….

Answer 2

Given:

Total distance = 1900 km

Distance by bus = bus km

Distance by airplane = ( 1900 - bus ) km

Total time = 5 hrs

Speed of the bus = 60 km / hr

Speed of the airplane = 700 km / hr

To find:

The distance traveled by bus.

Solution:

Time traveled in bus = Bus / 60  

Time traveled in airplane = ( 1900 - bus ) / 700

Total time = Time traveled in bus + Time traveled in airplane

Total time = Bus / 60 + ( 1900 - Bus ) / 700

Substituting,

Bus / 60 - Bus / 700 + 1900 / 700 = 5

( 35 * Bus - 3 * Bus ) / 2100 = 5 - 19 / 7

32 * Bus = 2100 * ( 35 - 19 ) / 7

32 * Bus = 300 * 16

Bus = 4800 / 32

Hence,

Bus = 150 km

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