ta có hpt :\(\left\{{}\begin{matrix}\dfrac{s}{45}-\dfrac{s}{60}=t\\\dfrac{s-30}{45}-\left(\dfrac{\dfrac{S}{2}}{60}+\dfrac{\dfrac{s}{2}-30}{55}\right)=t\end{matrix}\right.\)

t là thời thời gian giữa hai xe xuất phát

tự giải đi

\(\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{ 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}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{ 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}{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{ 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vận tốc đi xuôi dòng là : x+4(km/h)

vận tốc ngược dòng là : X -4 (km/h)

thời gian cano chạy xuôi dòng ít hơn thời gian cano chạy ngược dòng là 1h

ta có pt :\(\dfrac{ }{\dfrac{\dfrac{96}{x-4}-\dfrac{120}{X+4}=1}{ }}\)

x=20 km/h

\(\dfrac{ }{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{ }}}}}}}}}{\dfrac{ }{\dfrac{ }{\dfrac{\dfrac{ }{\dfrac{ }{ }}}{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{ }}}}}}}}}}}{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{ }}}}}}}}}}}}}}{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{ }}}}}}{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{ }}}}}}}}}{ }}{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{\dfrac{ }{ }}{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{\dfrac{ }{ }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}\)

Đổi : 1,2kg = 1200g

Trong 100g nước ngọt có là : 

1200 : 100 x 3 = 36 (g đường)

Nếu nước ngọt có tỉ lệ là 2,5% thì phải cần lượng nước lọc là :

36 : 2,5 x (100 - 2,5) = 1404 ( g)

Cần phải đổ thêm là : 

1404 - 1164 = 240 (g nước lọc)

240 g = 0,24 kg.

Đáp số: 0,24 kg nước lọc.

Đổi : 1,2kg = 1200g

Trong 100g nước ngọt có là : 

1200 : 100 x 3 = 36 (g đường)

Nếu nước ngọt có tỉ lệ là 2,5% thì phải cần lượng nước lọc là :

36 : 2,5 x (100 - 2,5) = 1404 ( g)

Cần phải đổ thêm là : 

1404 - 1164 = 240 (g nước lọc)

240 g = 0,24 kg.

Đáp số: 0,24 kg nước lọc.

số tự nhiên có dạng : xy

x+y=13

Nếu viết them chữ số 3 vào bên phải số đó ta được số mới lớn hơn số cũ là 768 đơn vị

=> 100X+10Y+3-10X-y=768

<=>90X +9Y=768-3

\(\left\{{}\begin{matrix}x+y=13\\90x+9y=768-3\end{matrix}\right.\)

<=>x=8 và y=5

vậy số đó là 85

\(\dfrac{a}{b}=\dfrac{6}{11}\)<=> 11a-6b=0

\(\dfrac{a}{c}=\dfrac{7}{10}\)=> \(c=\dfrac{a\cdot10}{7}\)

\(a+b+c=358\)

thay c vào ta được

\(a+b+\dfrac{a\cdot10}{7}=358\)

<=> 17a+7b=358*7

ta có hpt\(\left\{{}\begin{matrix}11a-6b=0\\17a+7b=358\cdot7\end{matrix}\right.\)

<=>\(\left\{{}\begin{matrix}a=84\\b=154\end{matrix}\right.\)

vậy A có 84 cuốn

B có 154 cuốn

\(C=\dfrac{10\cdot84}{7}=120\)cuốn

d+r=46/2

Nếu mở mảnh đất đó thêm một mảnh hình vuông đúng bằng chiều rộng hình chữ nhật thì ta được mảnh vườn mới có diện tích bằng 138m2.

=> d*r+r*r=138

<=> r(d+r)=138

r*23=138

r= 6

S= 138-6^2=102