Given the head start that A gives to B and C in a 100-meters race. The task is to find the head-start that B can give to C in the same race.
Input: B = 10 meters, C = 28 meters Output: 20 meters B can give C a start of 20 meters. Input: B = 20 meters, C = 50 meters Output: 62 meters B can give C a start of 62 meters.
Total meters in a race = 100 meters.
A is ahead of B by 10 meters. When A completed it’s 100 meters B completed it’s 90 meters.
Similarly, A is ahead of C by 28 meters. When A completed it’s 100 meters C completed it’s 72 meters.
Now, When B completed it’s 90 meters C completed it’s 72 meters.
So when B completed it’s 100 meters C completed it’s 80 meters.
–> (( C * 100) / B)
–> (( 72 * 100) / 90) i.e 80 meters
So B can give C a start of 20 meters
Below is the implementation of the above approach:
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