SOLUTION: You burn approximately 230 calories less per hour if you ride your bike versus go on a run. Lien went on a 2-hour run plus burned an additional 150 calories in his warm up and cool

Question 1092127: You burn approximately 230 calories less per hour if you ride your bike versus go on a run. Lien went on a 2-hour run plus burned an additional 150 calories in his warm up and cool down. Theo went on a 4-Hour bike ride. Lien and Theo burned the same amount of calories on their workouts, approximately how many calories do you burn in an hour for each type of exercise?

Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
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You burn approximately 230 calories less per hour if you ride your bike versus go on a run.
Lien went on a 2-hour run plus burned an additional 150 calories in his warm up and cool down.
Theo went on a 4-Hour bike ride. Lien and Theo burned the same amount of calories on their workouts.
Approximately how many calories do you burn in an hour for each type of exercise?
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Let B is the number of calories you (actually, "average person") burn per hour riding bike (Bike; B stands for Bike), and 
let R is the number of calories you (actually, "average person") burn per hour running (Running;  R stands for Running).


Then the condition gives you these two equations


 R - B = 230,     (1)    ("You burn approximately 230 calories less per hour if you ride your bike versus go on a run. ")
2R + 150 = 4B     (2)    ("Lien and Theo burned the same amount of calories on their workouts.")



    Thus the major part of the solution is just done: the Math model is established.
    The rest is just arithmetic and techniques.
    I hope you are familiar with this technique, so I decided do not bother you with it.


Nevertheless, if the solution is still the problem to you, then let me know through the "Thank you" form,
and I will help you to complete it  (at the free of charge basis, as usual).


In this case, do not forget to refer to the ID number of this problem 1092127 in order for I could identify it.


Good luck and happy learning ! !

For me, this problem is good for the day of April 1, when somebody wants to make other people smile or to be surprised.
Initially I thought that it does suit only for this day and for this purpose . . .

But thinking on it during my night sleep, I finally got the solution, and was really happy . . .

Thanks for submitting this problem.
Quite unexpected and amazing solution and problem . . .

-------------------
Now I can sign this work proudly: IKleyn, MekhMat MGU (= MSU) 1965/70, PhD in Physics and Mathematics.

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