Few workers can dig a trench 200m long , 100 . broad and 20 m deep in 20 days. same workers dig another trench of 40m width and 30m depth in 30 days. find the length of 2nd trench.
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Let the required length be x metres.
More breadth, Less length (Indirect Proportion)
More depth, Less length (Indirect Proportion)
More days, More length (Direct Proportion)
Breadth 20 : 50] : : 100 : x
Depth 15 : 10] : : 100 : x
Days 10 : 30] : : 100 : x
∴ 20 × 15 × 10 × x = 50 × 10 × 30 × 100
x = 50 × 10 × 30 × 100/20 × 15 × 10
x = 500 m
Hence,
The length of second trench is 500 m.
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