Get Started with ixamBee
Start learning 50% faster. Sign in now
Let’s assume the speed of the boat in still water and the speed of the stream are ‘B’ and ‘C’ respectively.
A boat can cover ‘y’ km distance downstream in (t+2.5) hours.
(B+C) = y/(t+2.5)
y/(B+C) = (t+2.5)Â Â Eq.(i)
The same boat can cover ‘0.25y’ km distance upstream in ‘t’ hours.
(B-C) = 0.25y/t
0.25y/(B-C) = t
y/[4(B-C)] = t
y/(B-C) = 4t  Eq.(ii)
If the total time taken by the boat to cover ‘y’ km distance downstream and the same distance upstream is 65 hours.
(y/(B+C))+(y/(B-C)) = 65
Put Eq.(i) and Eq.(ii) in the above equation.
(t+2.5)+4t = 65
5t+2.5 = 65
5t = 65-2.5
5t = 62.5
t = 12.5Â Â Eq.(iii)
The time taken by the boat to cover 728 km in still water is (2t+3) hours.
728/B = (2t+3)
Put the value of ‘t’ from Eq.(iii) in the above equation.
728/B = (2x12.5+3)
728/B = (25+3)
728/B = 28
728/28 = B
B = 26Â Â Eq.(iv)
Put the value of ‘B’ and ‘t’ in Eq.(i) and Eq.(ii).
y/(26+C) = (12.5+2.5)
y = 15(26+C)Â Â Eq.(v)
y/(26-C) = 4x12.5
y/(26-C) = 50
y = 50(26-C)Â Â Eq.(vi)
Equating Eq.(v) Eq.(vi).
15(26+C) = 50(26-C)
3(26+C) = 10(26-C)
78+3C = 260-10C
13C = 260-78
13C = 182
C = 14
So the speed of the stream = 14 km/h
What is the shortcut key for Spell check in document.
Which of the following is an example of application software
In MS Excel 365, which of the following is an example of absolute reference pointing to cell A1?
Which of the following keyboard shortcuts is used to view the properties of a selected object?
The basic unit of a worksheet into which you enter data in excel is called a ______:
What does the VLOOKUP function in Excel do?
The ‘Ctrl + W’ keyboard shortcut is used for which of the following purposes in MS Word 365?
What is the shortcut key for inserting a page break in Microsoft Word?
Which of the following formulas correctly calculates the sum of values in cells A1 to A5 in Excel?
In word processing, an efficient way to move the 3rd paragraph to place it after the 5th paragraph is—
