step by step instructions please. thank you. 9 of 45> Twa groups are going on a

Question

step by step instructions please. thank you.

9 of 45> Twa groups are going on a trip together The first group will make the trip in a Lexus GS 450h with 46 0 fluid oz of gas in the tank The GS 450h is a hybrid electric vehicle that has an EPA highway gas mileage rating of 34 0 mi/gal The second group intend to drive a BMW ActiveHybrid 7L, also a hybrid electric vehicle, with an EPA highway gas mileage rating of 30 0 mi/gal on only 850 fluid oz of gas The two groups will only go as far as the car that runs out of gas first How far will they go? …? km How much more gas would be needed for the empty car so that both cars would run out at the same time? oz Practice (0 pts)

Explanation / Answer

Since mileage rating is given in miles/gallon, it is better to convert the fluid oz quantity into gallons

1 oz = 0.0078125 gallons

a)

For the first group, fluid in the tank = 46.0 fluiz oz

Fluid in gallons = 46.0 oz * 0.0078125 gallon/1 oz = 0.359375 gallons

Hence the distance travelled by first group = mileage rating * volume of fluid = 34 mi/gal * 0.359375 gal = 12.21875 miles

For the second group, fluid in the tank = 85.0 fluiz oz

Fluid in gallons = 85.0 oz * 0.0078125 gallon/1 oz = 0.664063 gallons

Hence the distance travelled by second group = mileage rating * volume of fluid = 30 mi/gal * 0.664063 gal = 19.921 miles

Hence they will go the min(group 1, group 2) = 12.21875 miles

b)

For the cars to stop at same time, volume * mileage rating must be constant

x * 34 = 30 * 85

x = (30 * 85)/34 = 75

Hence the more gas required = 75 - 46 = 29 oz

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