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Arada [10]
3 years ago
13

When Justin goes to work, he drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Justin to

arrive at work. His car travels about 25 miles per gallon of gas. If gas costs $3.65 per gallon, how much money does Justin spend on gas to travel to work?
Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

Justin spends $14.24 on gas to travel to work.

Step-by-step explanation:

Given:

Average speed at which Justin goes to work = 65 miles/hour

Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]

Distance he can travel per gallon of gas = 25 miles.

Cost of per gallon of gas = $3.65

Solution:

We first determine the distance Justin travels to work.

Distance = Speed\times time

Distance = 65\times 1.5 = 97.5\ miles

Using unitary method to find the amount of gas required to cover the distance.

If 25 miles is covered in 1 gallon of gas

Then 1 mile will be covered in = \frac{1}{25} gallons of gas

So, to cover 97.5 miles gas required = \frac{1}{25}\times 97.5=3.9 gallons of gas.

Using unitary method to find the cost of 3.9 gallons of gas.

Cost of 1 gallon of gas = $3.65

So, cost of 3.9 gallons of gas will be = \$3.65\times 3.9=\$14.235\approx\$14.24 (Answer)

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aksik [14]

Answer:

Step-by-step explanation:

What we have is a general equation that says this in words:

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Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's.  We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x".  That makes Doug's hours "x + 40".  Now we can write our general equation in terms of x:

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Read more about investments here:

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