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maks197457 [2]
3 years ago
13

Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, Brett, set ou

t in his car to pick him up. Brett drove at a constant rate of 60 mph. How many hours will Marshall have been riding his bike by the time Brett catches up to him?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone.  Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30.  Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

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Answer:

3 : 1

Step-by-step explanation:

A jewellery shop sells 240 necklaces in a month 180 of the necklaces were sold via the shop website work out the simplest form. The rest were sold in a High Street shop.

Work out the ratio of online sales to shop sales.

Give your answer in its simplest form.

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to convert to simplest form, divide both numbers by 60

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2 years ago
Please help!! What is the value of the following expression when x=3 and y= -2?
Katena32 [7]

Answer:

20 is the answer.

Step-by-step explanation:

Substitute 3 in for x and -2 in for y.

4(3) - (-2 to the third power)

12 - -8 = 12 + 8

The answer is 20

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3 years ago
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8 0
3 years ago
Elijah's father is 47. He is 17 years older than twice Elijah's age. How old is Elijah?​
ch4aika [34]

Answer:

let Elijah age be a

Then

2*a + 17 =47

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Step-by-step explanation:

4 0
3 years ago
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A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides wa
ivann1987 [24]

Answer: 2b = 3g

Step-by-step explanation:

This is quite basic to solve, below is a Step by step explanation:

from the given question we have that;

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  • A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.

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Our questions tells us to write the equation which  relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

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Since flow from blue  hydrant b = 1500 gallons per minute, we have that

b = 3 * 500

b = 3 * 1000/2 g

b = 3/2 g

equation  gives 2b = 2g

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