TargetMBA007
KarishmaB - I was able to understand your approach, but I wanted to solve it using inverse variation, and would really appreciate if you can tell me, what's wrong with my logic.
First understanding the relationships
1. Exercise completed has a "Direct relationship" with "time completed", as exercise % goes up, time completed comes up.
2. Exercise completed has an "Inverse relationship" with "time remaining", as exercise % goes up, time remaining comes down.
* Next, the stem gives us, two data points
1. "Time remaining" and
2. "% completed".
i.e. we have the data points for the "inverse relationship".
So technically, time rem. * % completed = k, hence I should in theory be able to set-up a relationship like the below:
24 (18/60)*10% = x*40%
But this produces the wrong answer. Wonder where I am getting this wrong?
Check out the video on Variation here:
https://youtu.be/AT86tjxJ-f0Exercise done (work done) and time taken vary directly - correct (assuming rate is constant)
If 10% work is done, time taken is say t. If 20% work is done (twice of before), time taken is 2t - Correct
Work remaining and time remaining also vary directly - correct (because rate is constant)
If 80% work is left, say time remaining is T.
If 40% work is left, time remaining will be T/2 (Half) - Correct
But that doesn't mean that work done and time remaining is inversely varying.
Say 1 work has to be done in 60 mins.
So when 10% work is done, 6 mins have passed. (10% work is done and 54 mins are left)
When 20% work is done, 12 mins have passed. (20% work is done and 48 mins are left - work done is now twice but time remaining is not half)
This is so because time passed and time remaining have an additive relation, not multiplicative. They add up to give a fixed value.