There are three boats B1, B2, and B3 working together they carry 60 people on each trip. One day an early morning B1 carried 50 people in a few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on average 300 people cross the river using only one of the 3 boats B1, B2, and B3. How many trips it would take to B1 to carry passengers alone?
Question
There are three boats B1, B2, and B3 working together they carry 60 people on each trip. One day an early morning B1 carried 50 people in a few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on average 300 people cross the river using only one of the 3 boats B1, B2, and B3. How many trips it would take to B1 to carry passengers alone?
Solution
To solve this problem, we need to first understand the total capacity of the three boats B1, B2, and B3.
Given that the three boats together can carry 60 people per trip, and B1 alone carried 50 people in a few trips, we can infer that B1 has a larger capacity than B2 and B3.
Since B1, B2, and B3 together carried 300 people in 10 trips, this means that they carried 30 people per trip on average.
Given that B1 carried 50 people in a few trips alone, and considering that B1, B2, and B3 together carried 30 people per trip, we can infer that B2 and B3 together have a capacity of 60 - 50 = 10 people per trip.
Now, if we want to know how many trips B1 would take to carry 300 people alone, we simply divide the total number of people by the capacity of B1.
So, 300 people / 50 people per trip = 6 trips.
Therefore, it would take B1 six trips to carry 300 people alone.
Similar Questions
Two fishing firms, A and B, have two boats each. The actions they can take is to send fishing0, 1, or 2 boats. Let nA be the number of boats sent fishing by firm A and nB the number of boatssent fishing by firm B. The cost of sending a boat fishing is 12. The market price of a tonne of fishis p = 1. The catch (in tonnes) per boat going fishing is 602 + nA + nB.(A) (0,0) is the only outcome that survives the iterated elimination of strongly dominated strate-gies(B) (1,1) is the only outcome that survives the iterated elimination of strongly dominated strate-gies(C) (2,2) is the only outcome that survives the iterated elimination of strongly dominated strate-gies(D) The game is not dominance solvable
Seven People A, B, C, D, E, F, G plan to enjoy boating.There are only two boats, and the following conditions are to be kept in mind.(I) A will go in the same boat in which E is to go.(II) F cannot go in the same boat in which C is, unless D is also accompanying.(III) Neither B nor C can be given the boat in which G is.(IV) The maximum number of persons in one boat can be four only.If E gets the boat with F, which of the following is the complete and accurate list of the people who must be sitting in the other boat?
A boat takes 2 hours to move downstream and 3 hours to move upstream between two fixed points in a river. What is time taken by boat to cover one side journey in still water
The swimming club went to a swim meet in another town. They took 4 cars and 2 vans. There were 4 people in each car and 6 people in each van. How many people went on the trip?
A man can row at a speed of 15 km/hr in still water to a certain upstream point and back to the starting point in a river which flows at 9 km/hr. Find his average speed for total journey.a.8.4 km/hrb.9.6 km/hrc.9.1 km/hrd.10.4 km/hr
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.