Car A and B start from S and T towards T and S respectively. After passing each other they take 6 hours 40 minutes and three hours45 minutes to reach T and S respectively. If the speed of the car A is 60 km/h, then what is the speed of car B?

Step 1: Understand the problem Car A and Car B start from two different points S and T and move towards each other. After they meet, they continue to their destinations. We know the time it takes for each car to reach its destination after they meet and the speed of Car A. We need to find the speed of Car B.

Step 2: Use the concept of relative speed When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds. In this case, when Car A and Car B meet, they have covered the entire distance between S and T. The time it takes for them to meet is the total distance divided by their relative speed.

Step 3: Calculate the time it takes for the cars to meet The time it takes for Car A to reach T after meeting Car B is 6 hours and 40 minutes, which is 6 + 40/60 = 6.67 hours. The time it takes for Car B to reach S after meeting Car A is 3 hours and 45 minutes, which is 3 + 45/60 = 3.75 hours. The time it takes for the cars to meet is the difference between these two times, which is 6.67 - 3.75 = 2.92 hours.

Step 4: Calculate the distance between S and T The distance between S and T is the speed of Car A times the time it takes for Car A to reach T after meeting Car B. This is 60 km/h * 6.67 hours = 400 km.

Step 5: Calculate the speed of Car B The speed of Car B is the distance between S and T divided by the time it takes for Car B to reach S after meeting Car A. This is 400 km / 3.75 hours = 106.67 km/h.

So, the speed of Car B is 106.67 km/h.