88.2k views
5 votes
at a amusement park, guests have to take ethier train or boat 23 miles from the front entrance and then back hen they leave the park. the train goe 10mph 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?

User Matifou
by
8.4k points

1 Answer

2 votes

Final answer:

The round trip took 1 hour and 55 minutes, including 46 minutes for the train journey and 1 hour and 9 minutes for the boat journey.

Step-by-step explanation:

To calculate the round trip time, we need to find the time taken by the train and the boat individually. Let's start with Abdul's journey to the amusement park:

Distance = 23 miles

Speed of train = Speed of boat + 10 mph

= 20 + 10

= 30 mph

Time taken by Abdul's train journey = Distance / Speed

= 23 / 30

= 0.7667 hours

= 46 minutes (approximately)

Now, let's calculate the time for Abdul's boat journey back:

Speed of boat = 20 mph

Time taken by Abdul's boat journey = Distance / Speed

= 23 / 20

= 1.15 hours

= 1 hour and 9 minutes (approximately)

The round trip time is the sum of Abdul's train and boat journey time:

Round trip time = Time taken by train journey + Time taken by boat journey

= 46 minutes + 1 hour and 9 minutes

= 1 hour and 55 minutes.

User Youssef Moussaoui
by
8.4k points