Question
Speed of boat in still water is 60% more than speed of
current and total time takes by boat to cover certain distance going downstream and upstream is 32 hours. Find the time taken by boat to cover same distance in still water.Solution
Let speed of stream be 5x km/h. And speed of boat in still water = 5x × (160/100) = 8x Let the distance be ‘d’ km. => d/(5x + 8x) + d/(8x – 5x) = 32 => 16d/39x = 32 => d = 78x Required time = 79x/8x = 9(3/4) hours
The cost of fencing a square plot @ Rs.16/m is Rs. 2304. What will be the cost of flooring the plot @ Rs. 3.5/ square m?
2[sin x – cos x]4 + 6[sin x + cos x]2 + 5[sin6 x + cos6 x]= ?
If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 72 cm then find its area?
The angle of elevation of the top of an unfinished tower at a point distant 78 m from its base is 30°. How much higher must the tower be raised (in ...
The volume of water measured on a rectangular field 400m 200m is 8000 . Find the depth (amount) of rain that has fallen.
The length and breadth of a rectangle are increased by 35% and 40% respectively. The increase in the area of the resulting rectangle will be:
At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether?
The total area of a square and a rectangle is 306 cm². The breadth of the rectangle is 6 cm more than the length of each side of the square. If the len...
Length of a rectangle is equal to the side of a square. If area of the square and rectangle is 900 m2 and 270 m2, respectively the...
An iron pillar consists of two parts: one in the shape of a right circular cylinder and the other in the shape of a right circular cone. The radius of b...
Relevant for Exams:
