To solve this problem, we can use the formula for time, which is distance divided by speed.

Let's denote the distance between the two cities as D (in km), the speed of car A as Sa (in km/hr), and the speed of car B as Sb (in km/hr).

We know that Sa = 60 km/hr and Sb = 108 km/hr.

We also know that the time taken by car B is 2 hours less than the time taken by car A.

So, we can write the following two equations:

D/Sa = D/Sb + 2

Substituting the given values into the equation, we get:

D/60 = D/108 + 2

To solve for D, we first need to get rid of the fractions. We can do this by multiplying the entire equation by 60*108 to get:

108D = 60D + 2*60*108

Solving this equation for D gives:

48D = 2*60*108

D = (2*60*108) / 48

D = 270 km

So, the distance between the two cities is 270 km. Therefore, the correct answer is 270.

Question

To solve this problem, we can use the formula for time, which is distance divided by speed.

Let's denote the distance between the two cities as D (in km), the speed of car A as Sa (in km/hr), and the speed of car B as Sb (in km/hr).

We know that Sa = 60 km/hr and Sb = 108 km/hr.

We also know that the time taken by car B is 2 hours less than the time taken by car A.

So, we can write the following two equations:

D/Sa = D/Sb + 2

Substituting the given values into the equation, we get:

D/60 = D/108 + 2

To solve for D, we first need to get rid of the fractions. We can do this by multiplying the entire equation by 60*108 to get:

108D = 60D + 2*60*108

Solving this equation for D gives:

48D = 2*60*108

D = (2*60*108) / 48

D = 270 km

So, the distance between the two cities is 270 km. Therefore, the correct answer is 270.

Knowee AI · Accepted Answer