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Cities M and N are 600 km apart. Bus A starts from City M towards N at 9 am, and Bus B starts from City N towards M at the same time. When and where will the two buses cross each other?

A) At 300 km from both cities at 12 pm.
B) At 200 km from City M and 400 km from City N at 11 am.
C) At 400 km from City M and 200 km from City N at 10 am.

User Raekkeri
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1 Answer

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Final answer:

The two buses will meet approximately 4 hours and 17 minutes after they start, and they will meet at a location that is 200 km from City M and 400 km from City N at 11 am. Therefore, the correct option is B).

Step-by-step explanation:

To find out when and where the two buses will cross each other, we need to determine their relative speeds and the time it takes for them to cover the distance between the two cities. Since both buses start at the same time, we can focus on their speeds.

Let's assume that Bus A travels at a speed of 80 km/h and Bus B travels at a speed of 60 km/h. The relative speed of the two buses is the sum of their speeds, which is 140 km/h. Since the two cities are 600 km apart, we can use the formula d = rt to calculate the time it takes for the two buses to meet. In this case, the total distance traveled by both buses is 600 km and the relative speed is 140 km/h, so the time it takes for them to meet is 600 / 140 = 4.29 hours.

Therefore, the buses will meet approximately 4.29 hours after they start, which is equivalent to 4 hours and 17 minutes. To determine the location where they will meet, we can multiply the time it takes for them to meet by the relative speed. In this case, 4.29 hours * 140 km/h = 600 km. Therefore, the correct option is B) At 200 km from City M and 400 km from City N at 11 am.

User Pierreemmanuel
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