Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane.
Bus travels with average speed 60 km/hr and the average speed of aeroplane is
700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal
travelled by bus.
Answers
Answer:
Let x hour be travelled with auto and 5-x be travelled by aeroplane.
A/q. 60x+700(5-x)=1900
60x+3500-700x=1900
(-640x)=(-1600)
x=1600/640=2.5 hr
distance traveled by bus=2.5 hr
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We know that speed=distance/time.
Average speed of bus = 60km/h.
Let the time taken in bus be x hours.
Average speed of plane = 700km/h.
Let the time taken in plane be y hours.
Total distance covered = 1900 km
60x+700y=1900
6x+70y=190
3x+35y=95...........(I)
It takes 5 hours to complete the journey so,
x+y=5...........(II)
Multiply (II) with 3, then we get :
3x+3y=15..............(III)
Subtracting (III) from (I), then we get :
3x-3x+35y-3y=95-15
32y=80
y=2.5
Putting the value of y = 2.5 in (II) we get :
x+2.5=5
x=2.5
Distance travelled by Vishal by bus :
=speed×time
60×2.5
150 km.
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