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Question Detail
A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?
- 30 seconds
- 32 seconds
- 34 seconds
- 36 seconds
Answer: Option D
Explanation:
Speed of train relative to jogger = (45-9) = 36 kmph
= 36*(5/18) = 10 m/sec
Distance to cover = 240 + 120 = 360 metres
Time = Distance/Speed
So,
\begin{align}
Time = \frac{360}{10} = 36 \text{ Seconds}
\end{align}
1. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?
- 45 m
- 50 m
- 55 m
- 60 m
Answer: Option B
Explanation:
First person speed = 2*(5/18) = 5/9 m/sec
Second person speed = 4*(5/18) = 10/9 m/sec
Let the length of train is x metre and speed is y m/sec
then,
\begin{aligned}
\frac{x}{y-\frac{5}{9}} = 9 \\
=> 9y-5 = x \\
=> 9y-x = 5 .....(i) \\
Also, \\
\frac{x}{y-\frac{10}{9}} = 10 \\
90y-9x = 100 .....(ii)\\
\text{from (i) and (ii), we get,} \\
x=50
\end{aligned}
So length of train is 50 metre
2. A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length.
- 20 seconds
- 30 seconds
- 40 seconds
- 50 seconds
Answer: Option C
Explanation:
Speed = 45 Km/hr = 45*(5/18) m/sec
= 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
\begin{aligned}
= 500*\frac{2}{25} = 40 seconds
\end{aligned}
3. A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.
- 7 second
- 7.5 second
- 8 second
- 8.5 second
Answer: Option B
Explanation:
As we need to calculate answer in seconds, so first convert speed into meter/sec.
we know 1 km/hr = 1*(5/18) m/sec
So, Speed = 132* (5/18) = 110/3 m/sec
Distance need to be covered in passing the platform =
Length of train + length of platform = 110 + 165
= 275 meters
Time = Distance/Speed
\begin{aligned}
=> Time = 275* \frac{3}{110} = \frac{15}{2} \\
= 7.5 seconds
\end{aligned}
4. A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform.
- 310 meter
- 335 meter
- 345 meter
- 350 meter
Answer: Option D
Explanation:
Speed = Distance/time = 300/18 = 50/3 m/sec
Let the length of the platform be x meters
then
\begin{aligned}
Distance = Speed*Time \\
x+300 = \frac{50}{3}*39 \\
=>3(x+300)= 1950 \\
=> x = 350 \text{ meters}
\end{aligned}
5. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
- 150 meter
- 145 meter
- 140 meter
- 135 meter
Answer: Option A
Explanation:
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train(Distance) = Speed * Time
\begin{aligned}
= \frac{50}{3}*9 = 150 meter
\end{aligned}
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