Question
Puddletown is at a bearing of 137^circ from Little Dunking. Puddletown is 23 km south of Little Dunking. A straight canal connects the two places. A barge travels at 6.1km/h along the canal.
Answer
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Ian
Professional · Tutor for 6 years
Answer
It takes 3 hours and 46 minutes (rounded to the nearest minute) for the barge to travel from Puddletown to Little Dunking along the canal.
Explanation
The question is a case of assuming a constant velocity or consistency in a quoted speed without any changes dues to other observable factors such as canal traffic or harsh weather that cause dragging or acceleration. Knowledge of basic physics (specifically time-distance relationships) is key to solving this problem.This problem is straightforward once you realize it simply requires the use of the equation, time = distance / velocity. To solve this problem, the distance between Puddletown and Little Dunking, 23 km, is divided by the speed of the barge, 6.1 km/h. The solution to this equation will result in time approximated to the nearest minute, which is the duration of travel anticipated for the barge to make the trip. All the necessary calculations are as follows: know: Distance (d)= 23 km Speed (v) = 6.1km/h Formular is: time = Distance / speedLet's substitute the given distances and time which leads toThings to do: time = 23km / 6.1 km/hUpon executing this division we results in approximately, 3.77 hours, or equivalently 3 hours and 46 minutes. Hence, the barge would take about, approximately 3 hours and 56 minutes to travel from Little Dunking to Puddletown.