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Ostrovityanka [42]

3 years ago

12

32.28 in expanded form

1 answer:

igor_vitrenko [27]3 years ago

7 0

Step-by-step explanation:

expanded form is adding each place value together with zeros replacing all other spots

32.28

30.00 + 2.00 + 00.20 + 00.08

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Answer:

Time spent rowing down stream $=100\ seconds$

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Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

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Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

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Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

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Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

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Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

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Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

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