Question

2. The distance between two towns is 300 km. Two cars start simultaneously from these towns and move towards each other. The speed of one car is more than the other by 7 km/hr. If the distance between the cars after 2 hours is 34 km, find the speed of the cars. C ​

Answer 1

Answer:

The speed of the cars are 63 km/hr and 70 km/hr.

Step-by-step explanation:

Let us assume the speed of the slower car to be x km/hr

Then, the speed of the faster car will be (x + 7) km/hr.

Now,The distance covered by the cars individually after 2 hours will be

2x km and 2(x + 7) km

Given that the distance between the cars after 2 hours = 34 km

So, we have

2x + 2(x + 7) + 34 = 300

⇒2x + 2x + 14 + 34 = 300

⇒4x + 48 = 300

⇒4x = 300 – 48

⇒x= 252/4

∴ x = 63 km/hr.

And, (x + 7) = (63 + 7) = 70 km/hr

Hence, the speed of the cars are 63 km/hr and 70 km/hr.