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natulia [17]
3 years ago
5

At an amusement​ park, guests have to take either a train or a boat 14 miles from the parking lot to the front entrance and then

back when they leave the park. The train goes 10 mph faster than the boat. Abdul takes the train into the park and the boat on his way back. The boat goes an average speed of 20 mph. How long did the round trip​ take?
Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

\frac{7}{6} hours

Step-by-step explanation:

Distance for one way = 14 miles

The boat goes an average speed of 20 mph

The train goes 10 mph faster than the boat.

Speed of train = 20+10 = 30 kmph

Abdul takes the train into the park and the boat on his way back.

Time taken for going into park by train = \frac{Distance}{\text{Speed of train}}

                                                                 = \frac{14}{30}

Time taken for going back by boat = \frac{Distance}{\text{Speed of train}}

                                                                 = \frac{14}{20}

So, total time =  \frac{14}{30}+\frac{14}{20}=\frac{7}{6} hours

Hence the round trip​ take \frac{7}{6} hours

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Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

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Read more on Pythagoras theorem;

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