Question
Two numbers add up to 18, and the
sum of their reciprocals is 5/2. Calculate the square of the product of the two numbers.Solution
ATQ,
Let the two numbers be 'a' and 'b'. From the problem: 
Using the formula: 
Rearranging:
The square of the product is:
A train moving at 3/5th of its normal speed reaches its destination 10 hours late. Find the normal time taken by it.
Parag starts chasing a Vipul, 4 hours after the Vipul starts running. Parag takes 5 hours to catch the Vipul. If the average speed of the Parag is 18 km...
Average speed of ‘A’ during a 20-hour journey is 20 km/h. If he covered the first 200 km of his journey at a speed of 20 km/h, then find the speed a...
The speed of two cars A and B are in the ratio of 14:19 respectively. Car A travels 15 km less than the car B in the same time duration. What was the di...
A car running with a speed of 60 km/hr takes 16 hours to go from 'A' to 'B'. If on the way back from 'B' to 'A', the car takes 20% less time than it tak...
Buses A and B are moving around a circular ground of radius 210 m. If the speeds of the buses A and B are 16 m/sec and 20 m/sec respectively, then what ...
Average speed of ‘A’ during a 20-hour journey is 28 km/h. If he covered the first 240 km of his journey at a speed of 20 km/h, then find the speed a...
A bus driver drives at 45 km/h and is supposed to reach in 2 hours. He stops for 30 minutes after halfway. What speed is needed for the rest of the trip?
If a person walks at (2/3) of his normal speed, he arrives at his office 30 minutes late. What is the usual time taken by him to ...
A train crosses a platform in 36 seconds and a pole in 24 seconds. If the length of the train is 300 meters, what is the length of the platform?
