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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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प्रश्न

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?

योग
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उत्तर

Let the number of lorries required more = x.

Container lorries Goods (tonnes) Days
6 135 5
6 + x 180 4

As the goods are more ⇒ More lorries are needed to transport.

∴ It is direct proportion.

∴ Multiplying factor = `180/135`

Again if more days ⇒ less number of lorries enough.

∴ It is direct proportion.

∴ Multiplying factor = `5/4`

∴ 6 + x = `6 xx 180/135 xx 5/4`

`6 xx 180/135 xx 5/4`

6 + x = 10

x = 10 – 6

x = 4

∴ 4 more lorries are required.

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Compound Variation
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अध्याय 4: Life Mathematics - Exercise 4.4 [पृष्ठ १५०]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
अध्याय 4 Life Mathematics
Exercise 4.4 | Q 5 | पृष्ठ १५०

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