A car travelled from A to B and then continued to C.It travelled from A to B at an average speed of 30 km/h.The distance from A to B is 90 km.(a) How many hours did the journey from A to B take?(b) The distance from B to C is 50 km and took 1 hour.Calculate the average speed of the whole journey from A to C
Question
A car travelled from A to B and then continued to C.It travelled from A to B at an average speed of 30 km/h.The distance from A to B is 90 km.(a) How many hours did the journey from A to B take?(b) The distance from B to C is 50 km and took 1 hour.Calculate the average speed of the whole journey from A to C
Solution
(a) To calculate the time it took for the car to travel from A to B, we can use the formula: time = distance / speed. Given that the distance from A to B is 90 km and the average speed is 30 km/h, we can substitute these values into the formula: time = 90 km / 30 km/h. Simplifying this equation, we find that the journey from A to B took 3 hours.
(b) To calculate the average speed of the whole journey from A to C, we need to find the total distance and total time. The distance from A to B is 90 km, and the distance from B to C is 50 km. Therefore, the total distance is 90 km + 50 km = 140 km.
The time it took to travel from A to B is 3 hours, and the time it took to travel from B to C is 1 hour. Therefore, the total time is 3 hours + 1 hour = 4 hours.
To calculate the average speed, we can use the formula: average speed = total distance / total time. Substituting the values we found, we get: average speed = 140 km / 4 hours. Simplifying this equation, we find that the average speed of the whole journey from A to C is 35 km/h.
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