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