Question

Two cars are travelling in the same direction with a velocity of 60 kmph.  They are separated by a distance of 5 km. A truck moving in opposite direction meets the two cars in a time interval of 3 minute.  The velocity of the truck is (in kmph)​

Answer 1

Given:

Two cars are travelling with a velocity of 60 km/hr in the same direction

The distance between the two cars = 5 km

A truck moves in the opposite direction and meets the two cars in a time interval of 3 minutes

To find:

The velocity of the truck (in km/hr)

Solution:

Let's assume that the truck meets the first car at time "t = 0" then he will meet the second car after a time interval of 3 minutes i.e., $\frac{3}{60}$ hr.

Also, the truck will travel a distance of 5 km within the time interval of  $\frac{3}{60}$ hr.

∴ The relative velocity of the truck with respect to the car will be,

=  $\frac{Distance\: covered}{Time\: Interval}$

= $\frac{5}{\frac{3}{60}}$

= $\frac{5 * 60}{3}$

= $\frac{300}{3}$

= 100 km/hr

Since the truck is moving in the opposite direction of the car so, their respective velocities will add up to give the relative velocity of the truck with respect to the car.

So, we can say that,

Relative velocity of the truck with respect to the car = [Velocity of the truck] + [Velocity of the car]

we will now substitute the values of the relative velocity as 100 km/hr and the velocity of the car as 60 km/hr

⇒ 100 =  [Velocity of the truck] + 60

⇒ [Velocity of the truck] = 100 - 60

⇒ Velocity of the truck = 40 km/hr

Thus,

$\boxed{\bold{The \:velocity\: of\: the\: truck\: in\: km/hr\: is\: 40\: km/hr.}}$

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Answer 2

Step-by-step explanation:

Given Two cars are travelling in the same direction with a velocity of 60 kmph.  They are separated by a distance of 5 km. A truck moving in opposite direction meets the two cars in a time interval of 3 minute.  The velocity of the truck is (in kmph)

• Given two cars are travelling in the same direction. Both the speed are same and it is 60 km / h. So the distance between the cars will be 5 km. Now the truck is moving in the opposite direction meets at a time interval of 3 min.  
• So now speed of the truck will be v.
• So the truck will cross both the cars in a time interval of 3 min.So the first car time interval will be t = 0 and another car will be t = 3 min. Now the car would have travelled a distance further and we need to find the velocity of the truck.
• So distance travelled by the car and truck both sum will be equal to 5 km. Now let the distance between these two be d1 and d2.
• So d1 = 60 km / h x 3 min = 60 km / h x 3 / 60 h = 3 km So in 3 min the car has travelled 3 kms.
• Now we are left with 2 km extra
• So d2 = v x t = v x 3/60 but d2 =  2 km
• So 2 = v x 3 / 60 h
• So v = 2 x 60 / 3
• Or v = 40 km / hr

Reference link will be

https://brainly.in/question/16520737