Question
The speed of boat downstream and upstream is 28 km/hr
and 18 km/hr respectively. Time taken to travel a distance of (m + 35) km downstream and (n + 22) km upstream is 11 hours, and time taken to travel (m + 85) km upstream and (n + 65) km downstream is 17 hours. Find the difference between the value of m and value of n.Solution
According to question, (m+35)/28+(n+22)/18=11 (2m+70+3n+66)/56=11 2m+3n=616–136=480 … (iii) Also, (m+85)/18+(n+65)/28=17 (3m+255+2n+130)/56=17 3m+2n=952–385=567 … (iv) Solving equation (iii) and (iv), we get, m=105 and n=95 Therefore, required difference = 105 – 95 = 10
In a general survey of 832 people, it was found that 624 owned a car. If a person is selected randomly, what is the probability that the person will not...
If the homogeneous system of equations
x + y + z = 0
2x + 3y + 4z = 0
has a non-trivial solution, then the value of k is:
3x + 5y + kz = 0
Quantity I: Tara invested a certain amount in a simple interest scheme at a rate of 18% per annum for 5 years, while Rina invested the same amount in a...
The height of a right circular cone is 7 cm, and its volume is 733(1/3) cm³. Determine the diameter of the cone.
A person sells two items, X and Y. The marked prices of X and Y are 25% and 40% higher than their cost prices, respectively. After a 10% discount on bot...
The value of integration of log x / x2 is:
A man invests ₹20,000 in a scheme that offers a 10% simple interest per annum. After how many years will his total amount become ₹30,000?
A container has 80 liters of pure milk. 20 liters of milk is removed and replaced with 20 liters of water. Then, 20 liters of the new mixture is removed...
A boat takes 8 hours to travel 42 km upstream and 81 km downstream combined. In another instance, it covers 48 km upstream and 54 km downstream in 7 hou...
