Time Speed And Distance

Given: - Distance = 500 m - Speed = 30 km/hr First, convert speed into meters per second: Now, using the formula:
Thus, the correct answer is 60 sec.

Step 1: Define the variables
Let the usual speed of the aeroplane be km/hr. Step 2: Write the time equations
- Time taken to travel 1000 km at speed : - Time taken to travel 1000 km at reduced speed : Step 3: Set up the equation based on given condition
According to the problem, the difference in time is 1 hour: Step 4: Solve for
Take LCM: Step 5: Solve the quadratic equation
Using the quadratic formula: Step 6: Find the valid value of
Since speed cannot be negative, we take km/hr. Thus, the correct answer is 250 km/hr.

Step 1: Convert speed to meters per second - Given speed: km/hr - Convert km/hr to m/sec: Step 2: Calculate distance in one second - Distance traveled in 1 second = Speed (in m/sec)