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Calculating How Many Tons Of Ship's Fuel Consumed

You have steamed 216 miles and consumed 19.0 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 315 miles?

Given:

      Old Distance = 216 mi
     New Distance = 315 mi
Old Consumption = 19 tons

What is asked?

New fuel consumption


Solution:

We are going to derive our formula from this equation:
            
                                            New Consumption = New Speedx New Distance
                                             Old Consumption        Old Speed2 x Old Distance     

New Consumption x Old Speed2 x Old Distance = Old Consumption x New Speedx New Distance 

New Consumption x Old Speed2 x Old Distance = Old Consumption x New Speedx New Distance 
                                Old Speed2 x Old Distance          Old Speed2 x Old Distance

New Consumption x Old Speed2 x Old Distance = Old Consumption x New Speed x New Distance 
                                Old Speed2 x Old Distance          Old Speed2 x Old Distance
                                                 
* Old Speed and New Speed  can be cancelled since they are the same.

                                            New Consumption = Old Consumption x New Distance
                                                                                        Old Distance
                                                                        = 19 tons x 315 mi
                                                                                     216 mi
                                                                        = 5985 tons
                                                                                 216
                                             New Consumption = 27.7 tons


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