A train, 300m long, passed a man, walking along the line in the same direction at the rate of 3 kmph in 33 seconds. The speed of the train is:
A. 30 kmph
B. 32 kmph
C. $$32\frac{8}{{11}}$$ kmph
D. $$35\frac{8}{{11}}$$ kmph
Answer: Option D
Solution (By Examveda Team)
Let the speed of train = x km/ hrLength of train = 300 metres
Their relative speed in same direction
= (x - 3) km/hr
According to the question,
$$\frac{{\left( {300 + 0} \right)m}}{{\left( {x - 3} \right) \times \frac{5}{{18}}m/s}} = 33$$
[Here man's length is 0 metre]
$$\eqalign{ & \frac{{100 \times 18}}{{5x - 15}} = 11 \cr & 1800 = 55x - 165 \cr & 55x = 1965 \cr} $$
∴ Speed of the train = $$\frac{{1965}}{{55}}$$ = $$35\frac{8}{{11}}$$ kmph
This Question Belongs to Arithmetic Ability >> Speed Time And Distance
300*18/(x-3)*5=33.
The speed of the man is 3km/hr = 0.83m/sec
therefore in 33 secs he will move = 0.83x33 = 27.5m
The total distance covered by the train in 33 secs is = (300+27.5)m = 327.5m
therefore the speed of the train is = (327.5x3600) / (33x1000) = 35(8/11) Km/hr.
A train, 300m long, passed a man, walking along the line in the same direction at the rate of 3 kmph in 33 seconds. The speed of the train is:
please explain it i find the solution but i didn't get it. why they are supposing x if speed of train is already known