out of 1900 km Vishal Travels some distance by bus and some by aeroplane bus travel with speed 60 km per hour and average speed of aeroplane is 700 km per hour it takes 5 hour to complete this journey find the distance Vishal travel by bus
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Let Vishal travelled x km distance by bus and (1900 - x) km distance by aeroplane.
speed of bus = 60 km/h
speed of aeroplane = 700 km/h
total time taken to complete = 5 hrs
∵ time = distance/speed
∴ total time taken to complete = time taken to travel by bus + time taken to travel by aeroplane
⇒ 5hrs = x/60 + (1900 - x)/700
⇒5 = (70x + 1900 × 6 - 6x)/4200
⇒5 = (64x + 11400)/4200
⇒5 × 4200 = 64x + 11400
⇒21000 = 64x + 11400
⇒21000 - 11400 = 64x
⇒9600 = 64x
⇒x = 150 km
Hence, distance travelled by bus = 150 km
speed of bus = 60 km/h
speed of aeroplane = 700 km/h
total time taken to complete = 5 hrs
∵ time = distance/speed
∴ total time taken to complete = time taken to travel by bus + time taken to travel by aeroplane
⇒ 5hrs = x/60 + (1900 - x)/700
⇒5 = (70x + 1900 × 6 - 6x)/4200
⇒5 = (64x + 11400)/4200
⇒5 × 4200 = 64x + 11400
⇒21000 = 64x + 11400
⇒21000 - 11400 = 64x
⇒9600 = 64x
⇒x = 150 km
Hence, distance travelled by bus = 150 km
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