Let's solve this step by step:

Step 1: 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 hours), and the time taken by car B as Tb (in hours).

From the problem, we know that:
Sa = 60 km/hr
Sb = 108 km/hr
Ta = Tb + 2 hours

Step 2: We know that distance = speed * time. So, we can write two equations as follows:
D = Sa * Ta
D = Sb * Tb

Step 3: Since both equations are equal to D, we can set them equal to each other:
Sa * Ta = Sb * Tb

Step 4: Substitute the known values into the equation:
60 * (Tb + 2) = 108 * Tb

Step 5: Solve for Tb:
60Tb + 120 = 108Tb
120 = 48Tb
Tb = 120 / 48 = 2.5 hours

Step 6: Substitute Tb back into the equation D = Sb * Tb to find the distance:
D = 108 * 2.5 = 270 km

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

Question

Let's solve this step by step:

Step 1: 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 hours), and the time taken by car B as Tb (in hours).

From the problem, we know that:
Sa = 60 km/hr
Sb = 108 km/hr
Ta = Tb + 2 hours

Step 2: We know that distance = speed * time. So, we can write two equations as follows:
D = Sa * Ta
D = Sb * Tb

Step 3: Since both equations are equal to D, we can set them equal to each other:
Sa * Ta = Sb * Tb

Step 4: Substitute the known values into the equation:
60 * (Tb + 2) = 108 * Tb

Step 5: Solve for Tb:
60Tb + 120 = 108Tb
120 = 48Tb
Tb = 120 / 48 = 2.5 hours

Step 6: Substitute Tb back into the equation D = Sb * Tb to find the distance:
D = 108 * 2.5 = 270 km

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

Knowee AI · Accepted Answer

Let's solve this step by step:

Step 1: 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 hours), and the time taken by car B as Tb (in hours).

From the problem, we know that:
Sa = 60 km/hr
Sb = 108 km/hr
Ta = Tb + 2 hours

Step 2: We know that distance = speed * time. So, we can write two equations as follows:
D = Sa * Ta
D = Sb * Tb

Step 3: Since both equations are equal to D, we can set them equal to each other:
Sa * Ta = Sb * Tb

Step 4: Substitute the known values into the equation:
60 * (Tb + 2) = 108 * Tb

Step 5: Solve for Tb:
60Tb + 120 = 108Tb
120 = 48Tb
Tb = 120 / 48 = 2.5 hours

Step 6: Substitute Tb back into the equation D = Sb * Tb to find the distance:
D = 108 * 2.5 = 270 km

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

elect the correct answerTwo cars A and B travel from one city to another city, at speeds of 60 km/hr and 108 km/hour respectively. If car B takes 2 hours lesser time than car A for the journey, then what is the distance (in km) between the two cities?Options240300330270

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