Question
Speed of a boat in still water to speed of boat in
upstream is 11: 9. If the boat can travel 260 km in downstream in 10 hours, then find the time taken by the boat to cover 44 km in still water.Solution
Let speed of boat in still water and speed of boat in upstream be β11xβ km/h and β9xβ km/h, respectively. Speed of stream = 11x β 9x = 2x km/h Speed of boat in downstream = 11x + 2x = 13x km/h So, 13x = 260/10 => x = 2 Speed of boat in still water = 11 Γ 2 = 22 km/h Desired time = 44/22 x 60 = 120 minutes =2 hours
A certain sum of money becomes Rs. 1900 in 1 year and 2600 in 3 years at certain rate of simple interest. Find the sum of money invested.
How many possible values can the digit 'k' take if the number 9458k2 is divisible by 8?
A group of 20 boys can complete a task in 15 days. Similarly, 24 girls can finish the same task in 20 days. If the ratio of the e...
In order that the lines y = x + 1, 2x - 3y + 5 = 0 and 3x - y + m = 0 may meet in a point, the value of m should be:
Let f: [3, β) β R be defined by f(x) = xΒ² β 6x + 11. The range of f is:
The average of 26 numbers is 45. If 4 is added to each number, then the new average will be:
What will come in place of ?
4, 5, 13, 40, 104, ?.
A person, 'Q', uses 40% of their monthly income on food and then spends 60% of what is left on rent. After covering these expense...
A shopkeeper bought two articles for Rs. 600 each. If he sold one of them at 40% profit and the other at 25% loss, then find the difference between the ...