Question
 A path of width 3 m is made outside and around a
rectangular field of perimeter 210 m. If the length of the field is 50% more than its breadth, then find the cost of paving the path at Rs. 15 per m².Solution
ATQ, Let, breadth of the field be ‘x’ m. So, the length of the field = ‘1.5x’ m. Therefore, 2 × (x + 1.5x) = 210 2.5x = 105 x = 42 Therefore, the breadth of the field = x = 42 metres. Length of the field = 1.5x = 63 metres. So, the area of the path = (69 × 48) – (42 × 63) = 3312 – 2646 = 666 m². Required cost = 666 × 15 = Rs.9990
- A panther starts chasing a deer that is already 150 meters ahead. The deer runs at 27 m/sec, while the panther sprints at 30 m/sec. How long will it take f...
Two individuals, X and Y, travel from point P to point Q at different speeds. X takes 10 hours to complete the journey, while Y takes 12 hours. The diff...
On travelling with 50% less speed than his actual speed, Ramesh reached the destination 5 hours late. Find the time taken by him to reach his destinatio...
A car travels 240 km in 4 hours. After 2 hours, it increases its speed by 20 km/h and covers the remaining distance in 1 hour. What is the speed of the ...
Speed of a car and a bus is 30 km/h and 18 km/h, respectively. If the time taken by the car to cover a distance of ‘8x’ km is 1 hour less than time ...
A is cycling at an average speed of 48 km/hr such that he can reach a certain point at 12 noon. If he cycles at 80 km/hr, then he will reach the destina...
A man travelled a total distance of 150 km. He travelled first 100 km on car with a speed of 20 km/h and rest of the distance on bike whose speed is 10 ...
In a 1500-metre race, 'Sahil' beats 'Rohan' by '300' metres and 'Kabir' by '450' metres. If 'Rohan' and 'Kabir' participate in a 700-metre race, and 'Ka...
A car travels at a speed of 90 km/h and takes 4.5 hours to cover a specific distance. A train can cover the same distance in 3 hours. If the speed of th...
