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At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
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This concept has helped me immensely it’s taken a lot of the pressure off when facing questions involving things like two trains moving toward each other, or one car overtaking another.
These types of problems used to trigger instant panic, but now that I have a solid grasp of relative speed, I at least have a clear framework in mind to approach them.
I thought it might be helpful to share what worked for me, in case it helps someone else too.
What is the core idea of relative speed : When two objects move towards or away from each other, their relative speed is the effective speed at which the distance between them changes. We can walkthrough few cases wherein we can see live how and why relative speed is used
Case 1: Moving Towards Each Other
Relative speed = Sum of speeds
Relative Speed=S1+S2
They're closing the distance between them faster hence we combine the speeds
Case 2: Moving Away From Each Other
Relative speed = sum of speeds
Relative Speed=∣S1+S2∣
Why do we add?
Because the distance between them is increasing due to both objects' motion, so their speeds combine.
Case 3: Moving in the same direction
Relative speed = difference of speeds
Relative Speed=∣S1-S2∣
Why do we subtract? : Because the faster object is catching upto the slower object (Distance changes but slowly)
Now that we have understood how to find the relative speed let's understand the Formula for calculating the Time when these objects pass each other
Time=Distance to be covered/Relative Speed
These types of problems used to trigger instant panic, but now that I have a solid grasp of relative speed, I at least have a clear framework in mind to approach them.
I thought it might be helpful to share what worked for me, in case it helps someone else too.
What is the core idea of relative speed : When two objects move towards or away from each other, their relative speed is the effective speed at which the distance between them changes. We can walkthrough few cases wherein we can see live how and why relative speed is used
Case 1: Moving Towards Each Other
Relative speed = Sum of speeds
Relative Speed=S1+S2
They're closing the distance between them faster hence we combine the speeds
Case 2: Moving Away From Each Other
Relative speed = sum of speeds
Relative Speed=∣S1+S2∣
Why do we add?
Because the distance between them is increasing due to both objects' motion, so their speeds combine.
Case 3: Moving in the same direction
Relative speed = difference of speeds
Relative Speed=∣S1-S2∣
Why do we subtract? : Because the faster object is catching upto the slower object (Distance changes but slowly)
Now that we have understood how to find the relative speed let's understand the Formula for calculating the Time when these objects pass each other
Time=Distance to be covered/Relative Speed
