Question

a man running with the speed of 10km/h and 110 meters long train

Answer 1

Q:

A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A) 10 B) 8

C) 6 D) 4

Explanation:

Distance = 110 m

Relative speed = 60 + 6 = 66 kmph (Since both the train and the man are in moving in opposite direction)

= (66*5/18) m/sec = 55/3 m/sec

Time taken to pass the man = (100*3/55) = 6 s

Answer 2

Question: A train 110 metres long is running at a speed of 60 kmph. At what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

The time will train pass a man who is running at 6 kmph in the direction opposite to that in which the train is going is 6 seconds.

Given:

A train 110 metres long is running at a speed of 60 kmph and a man is running at 6 kmph in the direction opposite to that in which the train is going.

To Find:

The time will train pass a man who is running at 6 kmph in the direction opposite to that in which the train is going.

Solution:

To find the time we will follow the following steps:

As we know,

The train is moving relative to man and in opposite direction so, the speed will be added.

Hence, the relative speed of the train with respect to man = 60 + 6 Km/h = 66 km/ h

Now,

Converting km per hour to meters per second because the distance is in meters.

As we know,

1 Km = 1000 meters

1 hour = 3600 seconds.

So,

$\frac{66km}{h} \times \frac{1000m \: }{1km} \times \frac{1hour}{3600} = 18.33 m{s}^{ - 1}$

$time \: taken \: \frac{distance}{speed} = \frac{110}{18.33} = 6 \: seconds$

Henceforth, the time will train pass a man who is running at 6 kmph in the direction opposite to that in which the train is going is 6 seconds.

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