Question

A and B are two cities 300km apart. A car travels from A
in uniform speed and reaches B. If the speed of the car is
increased by 5km/h it could have reached at B 2 hours
early
a) Taking the speed of the car as x, form a second
degree equation.
.) Find the speed of the car
​

Answer 1

Answer:

70km

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/