Question
The sum of four consecutive even numbers is 108. What is
the sum of the squares of these numbers?Solution
Let the even number be x, x + 2, x + 4 and x + 6 Now, x + x + 2 + x + 4 + x + 6 = 108 4 x + 12 = 108 4 x = 96 x = 24 Now, Numbers are 24, 26, 28 and 30 Required sum = 24² + 26² + 28² + 30² = 576 + 676 + 784 + 900 = 2936
A cyclist travels from town A to town B at a speed of 20 km/h and returns to town A at a speed of 30 km/h. If the total distance between the towns is 12...
A person traveled 140 km in 3 hours. For the first 2 hours, he traveled at 60 km/h. What was his speed during the last hour?
In a 200-metre race, ‘A’ beats ‘B’ by 15 seconds or 60 metres. Find the time taken by ‘B’ to finish the race.
Ratio of speeds of ‘A’ and ‘B’ is 4:9, respectively. If they participate in a 270-metre race and ‘B’ gives ‘A’, a head start of ‘m’ ...
- 'M' takes 40 minutes more than 'N' to cover 'x' km. If the speed of 'M' and 'N' is 10 km/h and 16 km/h, respectively, then find the value of 'x'.
How far will 'Neha' travel by the time she catches up to 'Simran', given that 'Neha' starts 75 km behind and moves at 60 km/h while 'Simran' moves at 45...
Speed of a car and a bus is 24 km/h and 14 km/h, respectively. If the time taken by the car to cover a distance of ‘8x’ km is 1 hour less than time ...
'A' and 'B' are running on a circular track of length 4000 metres. 'A' is running clockwise at 8 m/s while 'B' is running anti-clockwise at 10 m/s. Find...
A car can finish a certain journey in 10 hours at a speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must b...
- Sneha travels a route in 9 hours at a constant speed of 14 km/h. If she wants to reduce the time to 6 hours, what should be her new speed?
Relevant for Exams:
