A driver travels for 4 hours at 88 miles per hour
during which his car gets 40 miles per gallon of
gasoline. He is paid $0.60 per mile, and his only
expense is gasoline at $3 per gallon. What is his net
rate of pay, in dollars per hour after this expense?

Respuesta :

Total miles: 4 hours x 88 miles per hour = 352 miles

Pay = 0.60 per mile x 352 miles = $211.20

Gallons of gas used = 352 miles / 40 miles per gallon = 8.8 gallons

Cost of gas  = 8.8 gallons x 3 per gallon = $26.40

Net pay = amount paid - amount spent

Net pay = 211.20 - 26.40 = 184.80

Answer: $184.80

His net rate of pay in dollars per hour is $ 22.8 per hour.

Since the driver travels 4 hours at 88 miles per hour, the total distance he travels is d = speed × time

= 88 miles per hour × 4 hours

= 352 miles.

Since he is paid $0.60 per mile, the total amount he is paid for covering 352 miles is t = rate × distance

= $0.60 per mile × 352 miles

= $211.2.

Since his car gets 40 miles per gallon and he spends $ 3 per gallon, the total amount he spends on gasoline is t' = diatance per gallon × amount per gallon

= 40 miles per gallon × $ 3 per gallon

= $ 120.

So, his net pay T = total amount paid - amount spent on gasoline

= t - t'

= $211.2 - $120

= $91.2

Now, his net rate of pay in dollars per hour is p = net pay/total time of travel = $ 91.2/4 hours

= $ 22.8 per hour

So, his net rate of pay in dollars per hour is $ 22.8 per hour.

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