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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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If two trucks leave a given city on highways making an angle of 132 degrees with one another, traveling at 45 and 55 miles per h
Law Incorporation [45]

Answer:

183 miles to the nearest mile.

Step-by-step explanation:

Distance =Speed X Time

Distance of Truck B from point A=45 X2 =90 miles

Distance of Truck C from point A=55 X2 =110 miles

Angles between them, BAC=132°

We want to find the Distance BC denoted by a between the trucks.

Using Cosine Rule,

a²=b²+c²-2bcCos A

=90²+110²-(2X90X110XCos132°)

=33448.79

a=√33448.79

BC=182.89 miles

The distance between the trucks is 183 miles to the nearest mile.

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3 years ago
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Answer:

-7 degrees

Step-by-step explanation:

Make sure to double check, but I think this is the answer.

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Answer:

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