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Three diggers dug a ditch of 360 m deep in five days working simultaneously. During one shift, the first digger digs as many meters more than the second as the second digs as many meters more than the third. The first digger’s work in 8 days is equal to the third digger’s work in 12 days. How many metres does the third digger dig per shift?

Three diggers dug a ditch of 360 m deep in five days working simultaneously. During one shift, the first digger digs as many meters more than the second as the second digs as many meters more than the third. The first digger’s work in 8 days is equal to the third digger’s work in 12 days. How many metres does the third digger dig per shift? Correct Answer 19 m

Given:

Three diggers dug a ditch of 360 m deep in five days working simultaneously.

The first digger’s work in 8 days is equal to the third digger’s work in 12 days.

Assumption:

Let first digger digs (24 + x) m, second digger digs 24 m and third digger digs (24 – x) meter (where x is a whole number)

Calculation:

⇒ The ditch dug by diggers in one day = 360/5 = 72 m

⇒ Average digging by a digger = 72/3 = 24 m

⇒ (24 + x)/8 = (24 – x)/12

⇒ 288 + 12x = 192 – 8x

⇒ x = 4.8 = 5 (approx.)

⇒ The third digger digs = (24 – 5) = 19 m

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