Latest self Aptitude Question SOLUTION: Suppose there is a bicycle race and the distance of 200 Km to covered in order to complete a race. There are 3 check posts at every 50 Km named as chkp1, chkp2, chkp3 respectively.

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Suppose there is a bicycle race and the distance of 200 Km to covered in order to complete a race. There are 3 check posts at every 50 Km named as chkp1, chkp2, chkp3 respectively. There is normal plane road from Start to chkp1, incline road from chkp1 to chkp2, decline road from chkp2 to chkp3 and normal road from chkp3 to Finish line.
Suppose Rider has 5000 Kcal with him during the start of a race. If the rider rides bicycle on normal plane road at 50 Km/hr he loses 5000 Kcal and at 40 Km/hr – 3000 Kcal and at 30 Km/hr – 2000 Kcal respectively. So on incline road he loses 10 % more energy and on decline road he saves 20 % energy for above speeds. Whenever rider reaches at every checkpost he receives maximum 3000 Kcal of energy from the energizer.
The rider has to keep in mind he must have at least 500 Kcal energy while reaching at every check post otherwise he will get faint. So find out in how much minimum time he will need to win the race so that he have at least 2000 Kcal of energy after completing the race, if so write a program or an algorithm for the same. And what should be the average speed of the bicycle for reaching at every check post and to the finishing line.

raj (11 years ago)

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