Answer

Verified

35.4k+ views

**Hint**Draw the length of the first steam track as $2x$, and the second stream track as $x$. Now the first steam track is supported by both the train and the wind velocities and is therefore longer. The second steam track is of the train moving at the same speed in the opposite direction, and is opposed by the wind. We will use the distance formula to compute the speed of each train.

**Complete Step by step answer**

As shown in the above diagram, the steam track length is drawn in brown.

We will consider the speed of the trains as $v$ each, and the speed of the wind blowing as $w$.

The wind will be supporting the steam to spread and is shown in purple in the diagram.

So, from the first diagram, we get the equation as $v + w = \dfrac{{2x}}{t}$.

Here we assume that the steam length per unit time is equal to the speed of the train and the speed of the wind combined, since both are assisting it.

From the second diagram, we get the equation as $v - w = \dfrac{x}{t}$.

Here we assume that the steam length per unit time is equal to the speed of the train minus the speed of the wind combined, since the length direction is in the direction of the velocity of the train. In this assumption, it is noted that the wind speed is less than the speed of the train as per the diagram, which can be otherwise.

From the above two equations, we get

$v + w = 2(v - w)$

$ \Rightarrow v = 3w$.

Thus, the speed of the train which is $v$, is thrice the speed of the wind, $w$.

**Therefore, the correct answer is option (2) Three times that of the wind.**

**Note:**Here we have assumed simply that the steam track is of a certain length and that the wind and train speeds are acting for or against changing the length of the steam track. Therefore the simple equation of speed has been used.

Recently Updated Pages

To get a maximum current in an external resistance class 1 physics JEE_Main

f a body travels with constant acceleration which of class 1 physics JEE_Main

A hollow sphere of mass M and radius R is rotating class 1 physics JEE_Main

If the beams of electrons and protons move parallel class 1 physics JEE_Main

Two radioactive nuclei P and Q in a given sample decay class 1 physics JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Other Pages

Oxidation state of S in H2S2O8 is A 6 B 7 C +8 D 0 class 12 chemistry JEE_Main

Two identical charged spheres suspended from a common class 12 physics JEE_Main

Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main

Explain the construction and working of a GeigerMuller class 12 physics JEE_Main

In a CO molecule the distance between C mass12 amu class 12 physics JEE_Main

A gas is compressed isothermally to half its initial class 11 physics JEE_Main