Question

question 3: a train travels from milton to redville, stops for 30 minutes, then travels to leek. (a) how long did it take the train to travel from milton to redville? (b) how far is redville from milton? (c) work out the speed of the train for the journey from milton to redville. (d) how long did it take the train to travel from redville to leek? (e) how far is leek from redville? (f) work out the speed of the train for the journey from redville to leek.

Explanation:

Step1: Calculate travel time from Milton to Redville

The train starts at \(05:00\) and arrives at \(07:00\). The time difference is \(07:00 - 05:00=2\) hours.

Step2: Determine distance from Milton to Redville

From the graph, at \(07:00\) (arrival in Redville), the distance from Milton is \(120\) miles.

Step3: Calculate speed from Milton to Redville

Speed formula \(v=\frac{d}{t}\), where \(d = 120\) miles and \(t = 2\) hours. So \(v=\frac{120}{2}=60\) miles per hour.

Step4: Calculate travel time from Redville to Leek

The train leaves Redville at \(07:30\) (\(30\) - minute stop) and arrives at \(10:00\). The time difference is \(10:00 - 07:30 = 2.5\) hours.

Step5: Determine distance from Redville to Leek

Total distance at \(10:00\) is \(240\) miles. Distance from Milton to Redville is \(120\) miles. So \(240 - 120=120\) miles.

Step6: Calculate speed from Redville to Leek

Using \(v=\frac{d}{t}\), with \(d = 120\) miles and \(t = 2.5\) hours. \(v=\frac{120}{2.5}=48\) miles per hour.

Answer:

a. \(2\) hours
b. \(120\) miles
c. \(60\) miles per hour
d. \(2.5\) hours
e. \(120\) miles
f. \(48\) miles per hour