Question
A steamer covers 80 km in 5 hr. in still water. If the
speed of the steamer in still water is 50% more than that of the stream, then time is required for the steamer to cover this distance upstream.Solution
Speed of the steamer in still water = (80/5) =16 km/h Speed of the stream = (16/1.5) = (32/3) km/h Upstream speed of the boat = 16 β (32/3) = {(48 β 32)/3} = (16/3) km Required time taken = 80 Γ· (16/3) = 80 Γ3/16 = 15 hours
If P is the amount invested at 5% p.a compounded half yearly for 2 years, what would be the amount received at the end of 2 years?
Calculate the total sum of all numbers between 101 and 149 that are divisible by 5.
A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3
Find the distance between the points (2, 5) and (7, 1).
Arun's average score across six subjects, including English and Mathematics, is recorded as 55. However, there was an error in reporting his marks for E...
Quantity I: Ravi invested Rs. 35,200 in a plan offering compound interest at an annual rate of 12.5%. Calculate the compound interest earned by Ravi af...
A and B start a business together. A invests βΉ20,000 for 6 months, and B invests βΉ30,000 for 8 months. If the total profit is βΉ6000, how much does...
A train moving at a speed of 135 km/h takes 6 seconds to pass a stationary vertical tree. How long will it take for the train to ...
A container has 360 litres of a mixture containing milk and water in the ratio of 3:2. 50 litres of milk and βpβ litres of water are added into the ...
The ratio of the outer and the inner circumference of a circular path is 5: 4. If the path is 100 meters wide, then what is the radius of the inner circle?