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Len [333]
3 years ago
7

Car A and car B are traveling at different speeds. Car A can travel 175 miles in the same time it takes car B to travel 125 mile

s. If car A travels 20 mph faster than car B, how fast (in mph) is car B traveling? (Enter an exact number.)
Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

The speed of car B is 50 mile per hour

Step-by-step explanation:

Given as :

The Distance travel by car A = 175 miles

The Distance travel by car B = 125 miles

The Time taken by both car A and B is same = T hours

Let The speed of car B = S mile per hour

So, The speed of car A = ( S + 20 ) mile per hour

Now, Time = \frac{Distance}{Speed}

So , For Car A ,

T = \frac{175}{(S + 20 )}

For Car B ,

T = \frac{125}{(S}

So, \frac{175}{(S + 20 )}  = \frac{125}{(S}

Or, 175 × S = 125 × ( S + 20 )

Or, 175 S - 125 S = 125 × 20

Or, 50 S = 2500

∴  S = \frac{2500}{(50}

I.e S = 50 mph

And S + 20 = 50 + 20 = 70 mph

The speed of car A = 70 mph

The speed of car B = 50 mph

Hence The speed of car B is 50 mile per hour  Answer

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A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff
lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

nCr = \frac{n!}{(n-r)!r!}

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

7C2 * 9C2

7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

5 0
3 years ago
Fill in the missing number in this newspaper report:
natka813 [3]

Answer:

£125000

Step-by-step explanation:

Original cost of house = £100 000

Percent increase = 25%

Increase in price = 25% of 100,000

Increase in price = 0.25 * 100,000

Increase in price = 25000

New cost = original cost + Increment

New cost = 100,000 + 25,000

New cost = 125,000

Hence it now cost  £125000

8 0
2 years ago
This is very important!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
SpyIntel [72]

Answer:

Step-by-step explanation:

5 0
3 years ago
Problem PageQuestion It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it
umka2103 [35]

Answer:

It will take 6 hours for the new pump to drain the pool.

Step-by-step explanation:

As the complete question is not given, the complete question is found online and is attached herewith

Let the rate of new pump is given as x=W/t_1

Let the rate of the old pump is given as y=W/t_2

it is given that the time t_2=2t_1

So by substituting the values of t_2 in the rate equation of y

y=W/2t_1

y=(W/t_1*2)=x/2

Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes

x+y=W/4

x+x/2=W/4

3x/2=W/4

As x=W/t_1

3W/2t_1=W/4

Now as W is same on both sides so

3/2t_1=1/4

12=2t_1

t_1=6 hours

So it will take 6 hours for the new pump to drain the pool.

7 0
3 years ago
Do you think any ordered pairs are solutions to BOTH y=x+5 and y=-2x-1? Explain.
Rina8888 [55]

Answer:

ordered pair(-2 , 3) is the solution

Step-by-step explanation:

y=x+5

y=-2x-1

x+5 = -2x-1    substitution

x+5+2x-5 = -2x-1+2x-5

3x = -6

x = -2

y = -2+5 = 3

ordered pair(-2 , 3) is the solution

3 0
3 years ago
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