Question

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QUESTION :-

Suppose a car starts from a place A and travels at a speed of 40 Km/h towards another place B. At the same time another car starts from B and travels towards A at a speed of 30 Km/h. If the distance between A and B is 100 km; after how much time will that cars meet ?​

Answer 1

Answer :-

1$\Large\frac{3}{7}\:$Hrs

Step-By-Step Explanation:-

Given :-

• A car starts from A with a speed of 40 kmph and travelling towards B.
• Another car starts from B and is travelling towards A with a speed of 30 kmph.
• Distance between A and B is 100 km.

Formula Using :-

$\huge\sf\red{T\:=\:\frac{D}{S}}$

Here,

• T = time
• D = distance
• S = relative speed

Solution :-

Speed of the car = 40 kmph

Speed of the second car = 30 kmph

The total distance travelled by those 2 cats in 1 hour = 40 + 30 = 70 kmph

Distance between A and B is 100 km.

So, D = 100 km

$\boxed{T\:=\:\frac{D}{S}}$

=> $\Large\frac{100}{70}$

=> $\Large\frac{10}{7}$

=> 1$\Large\frac{3}{7}$ Hrs.

.°. The two cars meet after 1$\Large\frac{3}{7}$ Hrs.

Note :-

In this problem, we assume that those 2 cars are travelling with constant speeds. If the speed changes, then T=D/S will not works. We are also assuming that the cars travel without stopping at any point.

$\:\:\:\:\:\:\:\:\:\:$THANK YOU :)