To solve this problem, we need to 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), the time taken by car A as Ta (in hrs), and the time taken by car B as Tb (in hrs).

From the problem, we know that:

Sa = 60 km/hr
Sb = 108 km/hr
Ta = Tb + 2 hrs

We can express the time taken by each car to travel the distance D as follows:

Ta = D/Sa
Tb = D/Sb

Substituting the known values into these equations gives us:

D/60 = D/108 + 2

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

108D = 60D + 2*60*108

Solving this equation for D gives us:

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 need to 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), the time taken by car A as Ta (in hrs), and the time taken by car B as Tb (in hrs).

From the problem, we know that:

Sa = 60 km/hr
Sb = 108 km/hr
Ta = Tb + 2 hrs

We can express the time taken by each car to travel the distance D as follows:

Ta = D/Sa
Tb = D/Sb

Substituting the known values into these equations gives us:

D/60 = D/108 + 2

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

108D = 60D + 2*60*108

Solving this equation for D gives us:

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