Question
A boat running downstream covers a distance of 24 km in
3 hrs while it covers the same distance upstream in 6 hrs. Then speed of the boat in still water isSolution
Let the speed of boat in still water be a km/hr and that of stream be b km/hr. Therefore, 24/(a + b)= 3 ⇒ a + b = 8 ………..(i) 24/(a – b)= 6 ⇒ a + b = 4 ………..(ii) On adding, eq (i) and (ii) ⇒ 2a = 12 km/hr ⇒ a = 6 km/hr
The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π, then its volume (in cm³...
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
A rectangular field is 40 m long and 25 m wide. Find the cost of fencing it three times all around at the rate of Rs. 12 per metre.
The speed of two railway engines is in the ratio 5: 4. If they move on parallel tracks in the same direction and if the slower engine is ahead of the f...
Find the time taken by a pipe, which releases 121.5 m3 of water in a minute to fill an empty cylindrical tank of radius 9 m and height 10 m. ...
Ratio of length to width of a rectangular field is 5:2. If the perimeter of the field is 350 metres, then find the area (in m2) of the field.
The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.
If the 4-digit number x67y is exactly divisible by 9, then the least value of (x + y) is _____.
A class has 48 students. On a specific day, only (3/8) of the students were present; the number of absentees on the same day would be:
Rahul spends some part of his income and saves the remaining part. The ratio of his expenditure and saving is 3 : 4 respectively. If Rahul’s income i...