Question
A boat is navigating a river with a current speed of 2
km/h. It takes the boat 75 minutes longer to cover a distance of 56 km upstream than it does to cover 45 km downstream. Additionally, the boat travels upstream for 90 minutes and downstream for 110 minutes. Determine the total distance covered by the boat.Solution
Let the speed of the boat in still water = 'x' km/h Then, upstream and downstream speed of the boat are (x - 2) km/h and (x + 2) km/h, respectively According to the question, {56/(x - 2)} - {45/(x + y)} = (75/60) Or, (56x + 112 - 45x + 90) ÷ (x2 - 4) = 1.25 Or, 11x + 202 = 1.25x2 - 5 Or, 1.25x2 - 11x - 207 = 0 Or, 5x2 - 44x - 828 = 0 Or, 5x2 - 90x + 46x - 828 = 0 Or, 5x(x - 18) + 46(x - 18) = 0 Or, (5x + 46)(x - 18) = 0 So, x = 18 (since speed cannot be negative). Therefore, upstream and downstream speed of the boat is 16 km/h and 20 km/h Total distance travelled = 16 X (90/60) + 20 X (110/60) = 24 + (110/3) = (182/3) kmÂ
Which one of the following is not a soap?
The highest surcharge rate of 37% on income above 5 crores shall be reduced to ______ % under the new tax regime?
Which Article of the Constitution of India empowers a high court to issue a writ?
In the context of open economy, forex stands for which of the following?
In which year Shinzo Abe became the PM of Japan for the first time?
After India, which country was the second most significant arms importer in the world?
Where is the origin of Western Cyclonic Fever?
In the context of digital governance services, S3WaaS stands for:
In which financial year India signed the Extended Fund Facility Agreement with the IMF?
Which of the following countries is the largest producer of milk?
