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Andrews [41]
2 years ago
11

A man travels from A to B at 4 km/h and from B to A at 6 km/h. The total journey takes 45 minutes. Find the distance travelled.

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
6 0
<h3><u>Given</u>:</h3>

A man travels from A to B at 4 km/h and from B to A at 6 km/h

Total time taken = 45 minutes

<h3><u>Formula</u>:</h3>

Speed = Distance ÷ Time

60 minutes = 1 hour

So, To convert minutes to hour Divide it by 60,

= 45/60 = 3/4 hour

Let the distance between point A to B be x

So, According to question

x/4 + x/6 = 3/4

6x + 4x/24 = 3/4

4(10x) = 24(3)

40x = 72

40x/40 = 72/40

x = 1.8 km

Thus, The distance travelled by the man from point A to B is 1.8 km

 

<u>-TheUnknownScientist</u><u> 72</u>

lubasha [3.4K]2 years ago
4 0

Answer:

d/4 + d/6=45/60 hours=3/4 hoursStep-by-step explanation:

3d+2d=12 x 3/4=9

5d=9

d=9/5 km ……………….

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Twice the sum of two numbers is 24. if one number is 2 times larger than the other, what is the smaller of the two numbers?
Vikki [24]
2(x+y)=24
2x=y

Use substitution. If y=2x, than we can substitute 2x for it in the other equation, because x and y equal the same things in both equations. 

So using that we get 2(x+2x)=24

SIMPLIFY
2(3x)=24

DISTRIBUTE
6x=24. 

DIVIDE: x=4.

If we substitute x into the original equations we get x=4 and y=8. Those are your two numbers. 

Have a nice day! :)


4 0
3 years ago
twenty seven out of forty dentists recommended a certain whitener for teeth. if 1080 dentists recommended the whitener in the su
Anestetic [448]

Answer:

1,600 dentists were surveyed in total.

Step-by-step explanation:

We can set up a proportion for this problem:

\frac{27}{40} = \frac{1080}{x}\\\\\\

Now we can cross multiply:

27*x = 1080*40\\\\27x = 43,200\\\\27x/27 = 43,200/27\\\\x = 1,600

1,600 dentists were surveyed in total.

3 0
2 years ago
Help please x+y=6 and x-y=4 solve for X
fredd [130]
X=5  y=1 this what i got when i worked it out on my paper. hope that helps.
6 0
3 years ago
Can someone Plzzz help me out???
Vitek1552 [10]

Hello from MrBillDoesMath!


Answer:  3


Discussion:

The perimeter of a polygon is the sum of the side lengths.

Perimeter of top polygon is   (x+2) + 2x + (x + 2) + (4x + 1) =  8x + 5

Perimeter of bottom triangle is   4x + 2x + (3x+2 ) =  9x + 2


The perimeters are the same when

8x + 5 = 9x + 2

Subtract 8x from both sides:

5 = (9x - 8x) + 2   or

5 = x + 2

Subtract 2 from each side to get x = 3:

5 -2 = 3 = x


The perimeter of either figure is 29



Regards, MrB

6 0
3 years ago
N a recent election, Mark Benton received 780 votes for 12% of the total vote. How many people voted in the election?
Sloan [31]

Answer: Answer C

Step-by-step explanation:

12%___780 votes

100%___X= 6500 votes

(100*780)/12 = 6500

5 0
3 years ago
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