Question

If 6 container lorries can transport 135 tonnes of goods in 5 days, how many more lorries are required to transport 180 tonnes of goods in 4 days?

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Answer 1

Let the number of lorries required more = x.

$\tiny \fbox {container \: lorries} \\ \tiny \fbox {6} \\ \tiny \fbox{6 + x}$

$\tiny \fbox{goods \: (tonnes)} \\ \tiny \fbox{135} \\ \tiny \fbox{180}$

$\tiny \fbox{days} \\ \tiny \fbox{5} \\ \tiny \fbox{4}$

$\sf{As \: the \: goods \: are \: more} \\ \sf{ ⇒ More \: lorries \: are \: needed \: to \: transport. }\\ \sf{</p><p>∴ It \: is \: direct \: proportion.} \\ \sf{</p><p>∴ Multiplying \: factor = 180135} \\ \sf{</p><p>Again \: if \: more \: days} \\ \sf{⇒ less \: number \: of \: lorries \: enough.} \\ \sf{</p><p>∴ It \: is \: direct \: proportion. }\\ \sf</p><p>∴ Multiplying \: factor =  \frac{5}{4} \\ \sf</p><p>∴ 6 + x = 6 ×  \frac{180}{135}  ×  \frac{5}{4} </p><p>$

This step in attachment. So copy it too ma

After,

6 + x = 10

x = 10 – 6

x = 4

$\sf \color {maroon}∴ 4 \: more \: lorries \: are \: required.$

$\sf \color{violet} \star\: I \: hope \: this \: helps \: to \: my \: kutty \: madam$