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Olin [163]
3 years ago
10

Hemant and Ajay start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in the lane an

d at a uniform speed, but Hemant is faster than Ajay. They first pass at a point 18.5 m from the deep end and having completed one length, each one is allowed to rest on the edge for exactly 45 seconds.After setting off on the return length, the swimmers pass for the second time just 10.5 m from the shallow end.How long is the pool?
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

Let length of the pool be L.

Deep

A —————————————><———————————----———————————— H

.................(18.5m)

H ——————————————————————————-———><————————- A

..............................................................................................................(10.5)

In same time, Andy covers 18.5 and Hardy covers L - 18.5.

In same time, Andy covers L - 18.5 + 10.5 while Hardy covers 18.5 + L - 10.5

The ratio of these distances covered would be the same since the speeds of both people are constant.

18.5/(L - 18.5) = (L - 8)/(L + 8)

Plug in the options to find that L = 45 works.

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Selma is about to purchase a new television that is listed for $415.99. If sales tax is 7.75%, what
Alex787 [66]

Answer:

448.23

Step-by-step explanation:

Sales tax is addition to the original price

The original price is 100%

First we find 1% of this, which is 415.99 / 100 = 4.1599

Then multiply this by 7.75 = 32.239225

Add this to the original price = 415.99 + 32.239225 = 448.229225

You have to round this to an appropriate number as the question uses two decimal places I think this will suffice = 448.23

6 0
3 years ago
The difference of 4 times a number and 15 is -16. Find the number.
hichkok12 [17]

Answer:

-1/4

Step-by-step explanation:

4x - 15 = -16

4x = -1

x = -1/4

5 0
3 years ago
Determine if the triangles are congruent. If so, identify a theorem or postulate that proves them congruent.
Kitty [74]

Answer: a. ASA

Step-by-step explanation:

They are congruent by ASA beacuse 1 angle and 1 side are given to be congruent and there is also a pair of vertical angles that are congruent.

8 0
2 years ago
A scuba diver descends at a constant rate
Crazy boy [7]

Answer:you need more information

Step-by-step explanation:you need more info like now!

5 0
3 years ago
On the Bologna-Rome route of a high-speed train, 3/4 of the reservations are with departure from Bologna, while the remainder ar
svlad2 [7]

Step-by-step explanation:

First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is

      \text{``If 20 passengers that board the train from Florence correlates to only} \ \displaystyle\frac{2}{5} \\ \text{of the bookings from Florence, then what is the total number of passengers} \\ \text{that booked regardless if the passengers boarded the train or not?"}

This statement can be phrase mathematically using the method of ratio and proportion as shown below

                                                    \displaystyle\frac{2}{5} : 1 \ = \ 20:x,

in which the variable x is the total number of passengers who booked the train from Florence.

Now, rewriting the above ratio into the form of fractions, yields

                                                         \displaystyle\frac{\displaystyle\frac{2}{5}}{1} \ = \ \displaystyle\frac{20}{x} \\ \\ \displaystyle\frac{2}{5} \ = \ \displaystyle\frac{20}{x} \\ \\ x \ = \ \displaystyle\frac{20}{\frac{2}{5}} \\ \\ x \ = \ 20 \ \times \ \displaystyle\frac{5}{2} \\ \\ x \ = \ 50

Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).

                                                         \displaystyle\frac{\displaystyle\frac{1}{4}}{1} \ = \ \displaystyle\frac{50}{y} \\ \\ y \ = \ \dsiplaystyle\frac{50}{\frac{1}{4}} \\ \\ y \ = \ 50 \ \times \ 4 \\ \\ y \ = \ 200,

where the variable y denotes the total number of bookings.

Therefore, the total number of passengers that had booked the train is 200.

Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.

Number of passengers left when arriving Rome = 150 - 36 + 20

                                                                                = 134 passengers

8 0
2 years ago
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