Question
Find and compare the speeds of
the boats in still water based on the given conditions. Boat A takes the same amount of time to travel 2x km upstream as it does to travel 3x km downstream. Boat B takes the same amount of time to travel 3y km upstream as it does to travel 5y km downstream. Boat C takes the same amount of time to travel 5z km upstream as it does to travel 7z km downstream. Quantity I: Boat A covers 144 km downstream and then returns to the starting point, completing the round trip in 20 hours. Find the speed of Boat A in still water. Quantity II: Boat B covers 150 km downstream and returns to the starting point, completing the round trip in 16 hours. Find the speed of Boat B in still water. Quantity III: Boat C covers 140 km downstream and returns to the starting point, completing the round trip in 12 hours. Find the speed of Boat C in still water. In the question, three quantities i.e. Quantity I, Quantity II and Quantity III are given. Solve the given quantities to establish the correct relation between them and choose the correct optionSolution
ATQ, For Boat A, Downstream Speed : Upstream Speed = 3x : 2x = 3 : 2 For Boat B, Downstream Speed : Upstream Speed = 5y : 3y = 5 : 3 For Boat C, Downstream Speed : Upstream Speed = 7z : 5z = 7 : 5 Quantity I, For Boat A, Downstream Speed = 3a km/hr Upstream Speed = 2a km/hr 144/3a + 144/2a = 20 48/a + 72/a = 20 120/a = 20 a = 6 Speed of Boat A in still water = (3a + 2a)/2 = 5a/2 = 2.5 × 6 = 15 km/hr Quantity II, For Boat B, Downstream Speed = 5b km/hr Upstream Speed = 3b km/hr 150/5b + 150/3b = 16 30/b + 50/b = 16 80/b = 16 b = 5 Speed of Boat b in still water = (5b + 3b)/2 = 8b/2 = 4 × 5 = 20 km/hr Quantity III, For Boat C, Downstream Speed = 7c km/hr Upstream Speed = 5c km/hr 140/7c + 140/5c = 12 20/c + 28/c = 12 48/c = 12 c = 4 Speed of Boat C in still water = (7c + 5c)/2 = 12c/2 = 6 × 4 = 24 km/hr Quantity I < Quantity II < Quantity III
What is the respective ratio of the number of people prefer to go Thailand in 2013, 2015 and 2017 to the number of people prefer to go Singapore in the ...
Study the given table to answer the question that follows.
The table shows the number of students who appeared in the 12th Board Examination f...
In the bar graph, in which year is the sum of the students f...
In an examination, a candidate is required to pass all six different subjects. The number of ways he can fail is:
What is the difference between the number of ASUS laptops sold in all the given years and the number of HP laptops sold in 2015, 2018 and 2020 together?
In 2012, no. of students appearing for IMS was 5%. However each year no of students increases by 10% in number. What will be the difference between the ...
In the year 2013, the student appearing in IMS is what percent of the students appearing in UIT and XLRI together in that year? ( approx )
...
Total number of HP laptops sold in 2015 and 2016 together is approximately what percent more of the total number of HP laptops sold in 2017 and 2018 tog...
Relevant for Exams:
