Question
The speed of a boat in still water is 9 km/hr and speed
of current is 5 km/hr. If time taken to cover a certain distance upstream is 14 hours, then how long will the boat take to cover the same distance downstream?Solution
Total distance = 14 × (9 – 5) = 56 km Required time = 56/(9 + 5) = 4 hrs
A man travels 60 km at a speed of 30 km/h and then travels 90 km at a speed of 60 km/h. What is his average speed for the entire journey?
If sin A + cos A = 1, what is the value of tan A?
How many chairs must be sold for Rs. 25,600 to achieve a 25% profit, given that 50 chairs were originally purchased for the same amount?
A car travels a distance of 240 km in 4 hours. If it increases its speed by 20 km/h for the next 3 hours, how much distance will it cover in total?
If 'x' is a positive integer such that x + 1/x = 2, then find the value of (x3 + x2 − 2x – 6)/(4x4 + 2x2
Solve the equation:sin(x) + cos(x) = 2·sin(x + α). Then the value of α is:
A man standing on the top of a cliff observes a boat at an angle of depression of 45°. He then moves 30 meters further down the cliff, and the angle of...
A merchant faces a loss of 18% when selling a product for Rs. 656.20. Determine the cost price of the product.
