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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.

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.

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.

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IanProfessional · 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.

Explain

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.<br /><br />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. <br /><br />All the necessary calculations are as follows: <br /> know:<br /> Distance (d)= 23 km<br /> Speed (v) = 6.1km/h<br /><br /> Formular is: time = Distance / speed<br />Let's substitute the given distances and time <br /> which leads to<br />Things to do: <br />time = 23km / 6.1 km/h<br /><br />Upon 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.
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