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
Vishal travelled 150 km by bus.
Step-by-step explanation:
Let vishal travelled x km by bus and y km by plane
We know that,
Time = Distance / Speed
Time taken by Vishal while travelling by bus = (x/60) h ..... (1)
Time taken by Vishal while travelling by plane = (y/700) h ..... (2)
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From the given condition,
x + y = 1900 ..... (1)
and x/60 + y/700 = 5 ..... (2)
Multiplying equation (2) by 2100, the LCM of 60 and 700,
(x/60) × 2100 + (y/700) × 2100 = 5 × 2100
∴ 35x + 3y = 10500 ..... (3)
Multiplying equation (1) by 3
3x + 3y = 5700 ..... (4)
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Subtracting equation (4) from equation (3),
35x + 3y = 10500 ..... (3)
-
3x + 3y = 5700 ..... (4)
- - -
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32x = 4800
∴ x = 4800/32
∴ x = 150