Question
A boat can go 15 km upstream and 21 km downstream in 2
hours. If the speed of the stream is 6km/h, then the time taken (in hours) by the boat to go 21 km upstream and 15 km downstream is:Solution
Let the speed of boat in still water =B Let the speed of stream in still water =S Speed of boat in downstream =B+S Speed of boat in upstream =B-S B+S=21/2=10.5km/h B-S=15/2=7.5km/h Solving after – B=9km/h and S=1.5km/h ATQ- S =1.5 =6km/h B=9=36km/h Now total taken time = (21/B-S) +(15/B+S) = (21/30) +(15/42) =148/40=37/10 =3(7/10) hours
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...