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), the speed of car B as Sb (in km/hr), and the time difference as Δt (in hours).

From the problem, we know that Sa = 60 km/hr, Sb = 108 km/hr, and Δt = 2 hours.

The time it takes for car A to travel from one city to another is D/Sa, and for car B it is D/Sb. According to the problem, the time for car A is 2 hours more than the time for car B, so we can write the equation as follows:

D/Sa = D/Sb + Δt

Substituting the known values into the equation, we get:

D/60 = D/108 + 2

To solve for D, we first need to get rid of the denominators by multiplying the whole equation by 60*108, which gives:

108D = 60D + 2*60*108

Solving this equation for D, we get:

48D = 2*60*108

D = (2*60*108) / 48

D = 270 km

So, the distance between the two cities is 270 km.

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), the speed of car B as Sb (in km/hr), and the time difference as Δt (in hours).

From the problem, we know that Sa = 60 km/hr, Sb = 108 km/hr, and Δt = 2 hours.

The time it takes for car A to travel from one city to another is D/Sa, and for car B it is D/Sb. According to the problem, the time for car A is 2 hours more than the time for car B, so we can write the equation as follows:

D/Sa = D/Sb + Δt

Substituting the known values into the equation, we get:

D/60 = D/108 + 2

To solve for D, we first need to get rid of the denominators by multiplying the whole equation by 60*108, which gives:

108D = 60D + 2*60*108

Solving this equation for D, we get:

48D = 2*60*108

D = (2*60*108) / 48

D = 270 km

So, the distance between the two cities is 270 km.

Knowee AI · Accepted Answer