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3 years ago

17. Distance to Work Johnny gets to work in 20 minutes

Mathematics

1 answer:

Marrrta [24]3 years ago

6 0

Answer:

2.25 miles

Step-by-step explanation:

When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours

When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours

The formula for speed is : Speed = Distance covered / time taken

The statement is that the driving speed is greater than biking speed by 4.5 mph

Assuming the distance to work is x miles then;

x/ 0.3 - x/0.75 = 4.5 ------eliminate 0.3 by multiplying each term by 0.3 to get

x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get

0.75 x - 0.3 x = 1.0125

0.45 x = 1.0125

x= 1.0125 / 0.45

x = 2.25

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3 years ago

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4 years ago

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Step-by-step explanation:

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4 years ago

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63. The total possibl

Nataly_w [17]

Answer:

0.80A + 0.92B = 63 .....1

A + B = 75 ......2

Step-by-step explanation:

Let A and B represent the total possible score in part A and B respectively;

Analysing each sentence of the question;

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63

80% of A + 92% of B = 63

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The total possible marks for the test was 75;

A + B = 75 .....2

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3 years ago

2 cars are 700 miles apart. They travel toward each other. One of the cars travels at 75mph, the other travels at 100 mph. How l

olga2289 [7]

Answer: C 4

Step-by-step explanation:

Use the formula: distance = rate x time

We can say that train 1 travels a distance of x, and train 2 travels a distance of 700 - x

The rate of train 1 is 75 mph, and the rate of train 2 is 100 mph

The time traveled for the two trains will be the same. We can represent that with the variable t.

We have the following equation for train 1:

x = 75t

For train 2, we have this equation:

700 - x = 100t

Use the Substitution Method by replacing x in the equation for train 2 with the value 75t.

700 - 75t = 100t

700 = 175t

700/175 = 4 hours.

It will take 4 hours for the two trains to meet.

6 0

3 years ago