Question

A woman drives an SUV that gets 12 mi/gal (mph). Her husband drives a hybrid that gets 55 mph.Every week, they travel the same number of miles.They want to improve their combined not.They have two options on how they can improve it. Option1:They can tune the SUV and increase its mileage by 1 mph and keep the hybrid as it is. Option 2: they can buy a new hybrid that gets 80 mph and keep the SUV as it is . Which option will give them a better combined mph?

Answer 1

Answer:

Option 2 gives a better combined mileage.

Step-by-step explanation:

Data provided in the question:

Mileage of SUV = 12 mi/gal

Mileage of hybrid = 55 mph or 55 mi/gal

After tuning the SUV, new mileage = 12 + 1 = 13 mi/gal

Now,

For Option 1:

Average mileage of SUV and the Hybrid = $\frac{13+55}{2}$

= 34 mi/gal

For Option 2:

Mileage of new car = 80 mph or 80 mi/gal

Average mileage = $\frac{12+80}{2}$

= 46 mi/gal

Hence,

Option 2 gives a better combined mileage.