out of 1900 km, Vishal travels some distance by bus and some by aeroplane. Bus travels with average speed 60 km per hour and average speed of aeroplane is 700 km per hour. It takes 5 hours to complete the journey. Find the distance, Vishal travelled by bus.
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Answer:
Let the distance travelled by bus be x kms and by aeroplane be
y kms
by first condition
THIS IS EQUATION 1
x + y = 1900
by second condition
now
speed = \frac{distance}{time}
time= \frac{distance}{speed}
for bus
time = \frac{x}{60}
for aeroplane
time = \frac{y}{700}
But it is given that journey was completed in 5 hours
thus
THIS IS EQUATION 2
\frac{x}{60} + \frac{y}{700} = 5
By solving equations 1 and 2 for x and y
x= 150
y=1750
ANS
Vishal travelled 150 kms by bus
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