algebra proportions

Question

anyone got an idea please

Kyndal, a marathon runner who weighs 162 pounds, will burn 350 in 45 minutes of running at a marathon pace. While preparing for an upcoming marathon that takes an average athlete 6 ½ hours to run, is calculating how many of the 5 rest stations he should stock with his supplemental beverage. The Beverage pack provides needed electrolytes and 350 calories. The goal is to replace approximately a third of the calories burned. How many stations should he stock? Show your work and explain your strategy.

Answer 1

So, he burns 350 calories every 45 minutes, and we need to see how many stations to stock up at if 350 calories are replenished. 

in 6.5 hours Kyndal will burn 2,333.33 calories (350 x 6 (there are 6 45 minute increments)  = 2,100. 350/45 = 7.77 calories burned per minute, 7.77x 30 minutes). 
1/3 of 2,333.33 = 777.76 calories. 

777.76/350 = 2.22 rest stations. So at 2 rest stations, he will have stocked back up on approximately 1/3 of his calories.