A person travels 285 km in 6 hours in two stages. In the first part of the journey, he travels by bus at the speed of 40 km per hour. In the second part of the journey, he travels by train at the speed of 55 km per hour. How much distance did he travel by train ?
A. 145 km
B. 165 km
C. 185 km
D. 205 km
Answer: Option B
Solution(By Examveda Team)
Let the distance travelled by train be x kmThen, distance travelled by bus = (285 - x) km
$$\eqalign{ & \therefore \left( {\frac{{285 - x}}{{40}}} \right) + \frac{x}{{55}} = 6 \cr & \Leftrightarrow \frac{{\left( {285 - x} \right)}}{8} + \frac{x}{{11}} = 30 \cr & \Leftrightarrow \frac{{11\left( {285 - x} \right) + 8x}}{{88}} = 30 \cr & \Leftrightarrow 3135 - 11x + 8x = 2640 \cr & \Leftrightarrow 3x = 495 \cr & \Leftrightarrow x = 165 \cr} $$
Hence, distance travelled by train = 165 km
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Comments ( 2 )
Related Questions on Speed Time and Distance
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D. 62 min.
E. 66 min.
A. 262.4 km
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E. None of these
A. 4 hours
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A person travels 285 km in 6 hours in two stages. In the first part of the journey, he travels by bus at the speed of 40 km per hour. In the second part of the journey, he travels by train at the speed of 55 km per hour. How much distance did he travel by train ? In this question the no 6 how it chaged to 30?
The number 6 how chenged to be 30