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vova2212 [387]
3 years ago
12

It took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph. How much time wil

l the way back take if Peter drives with the average speed 60 mph?
Mathematics
1 answer:
Andrew [12]3 years ago
3 0

The distance is the same. So the two conditions (driving there and driving back) can be equated.

There

t = 3 hours

d = d

r = 54 mph

Back

t = ?

d = d

r = 60 mph

Basic Formula

d = r * t

Solution

54 * 3 = 60 * t            Combine the left side

162 = 60 * t                Divide by 60  on both sides

162 / 60 = t                Combine

2.7  hours = time coming back.

0.7 hours = 60 * 0.7 = 42 which is in minutes.

2 hours and 42 minutes.  Answer



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The weights of each cylinder and prism are 3 and 4 ounces, respectively.

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Let be x and y the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>

4\cdot x +5\cdot y = 32\,oz (Eq. 1)

ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>

x + 8\cdot y = 35\,oz (Eq. 2)

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From (Eq. 2):

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