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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?
Solution
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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