Question

12. 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.
​

Answer 1

Answer:

speed of car B =63 km/h and speed of car A =63+7=70 km/h

Step-by-step explanation:

Let the speed of car B be x km/h.  

Then, speed of car A =(x+7) km/h

Now, distance covered by car B in 2 hours=2x km and

Distance covered by car A in 2 hours =2(x+7) km

Given, distance between the cars after two hours is 34 km and distance between both the towns is 300 km.

So, distance covered by both the cars in two hours moving in opposite direction =300−34=266 km

⇒2(x+7)+2x=266

⇒2x+14+2x=266

⇒4x=252

⇒x=63 km/h  

Therefore, speed of car B =63 km/h and speed of car A =63+7=70 km/h