A car and a truck drove out of two unsettled points at the same time to meet one and one. Freight speed is exactly 56

| January 3, 2021 | education

A car and a truck drove out of two unsettled points at the same time to meet one and one. Freight speed is exactly 56 km / h, which is seven-ninths of a passenger car. What is the distance between settlements if the cars met two whole three-eighths of hours after the start of the movement?

1) To begin with, let’s determine the speed of a passenger car if it is known that the speed of a truck, equal to 56 km / h, is 7/9 of the speed of a passenger car:
56: 7 * 9 = 8 * 9 = 72 km / h.
2) Next, we calculate the speed of approach of vehicles moving towards them as the sum of their speeds:
56 + 72 = 128 km / h.
3) Knowing the speed of approach and the time after which the meeting of cars took place, we calculate the distance between settlements:
128 * 2 3/8 = 128 * 19/8 = (128 * 19) / 8 = 16 * 19 = 304 km.
Answer: 304 km.



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