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:Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many metres more than the second as the second digs more than the first. The third digger’s work in 10 days is equal to the first digger’s work in 14 days. How many metres does the first digger dig per shift?​?
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:Three diggers dug a ditch of 324 m deep in six days working simultane...
Given Information:
- Three diggers dug a ditch of 324 m deep in six days working simultaneously.
- The third digger digs as many metres more than the second as the second digs more than the first.
- The third digger’s work in 10 days is equal to the first digger’s work in 14 days.

Calculations:
Let the work done by the first, second, and third diggers per day be F, S, and T meters respectively.
Given that the three diggers together dug a ditch of 324 m in 6 days, we have:
6(F + S + T) = 324
F + S + T = 54
Given that the third digger digs as many metres more than the second as the second digs more than the first, we have:
T - S = S - F
T = 2S - F
Given that the third digger’s work in 10 days is equal to the first digger’s work in 14 days, we have:
10T = 14F
5T = 7F
Substitute T = 2S - F and 5T = 7F into the above equations to solve for F, S, and T.

Solution:
F = 18 meters
S = 18 + 9 = 27 meters
T = 2(27) - 18 = 36 meters
Therefore, the first digger digs 18 meters per shift.
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:Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many metres more than the second as the second digs more than the first. The third digger’s work in 10 days is equal to the first digger’s work in 14 days. How many metres does the first digger dig per shift?​?
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:Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many metres more than the second as the second digs more than the first. The third digger’s work in 10 days is equal to the first digger’s work in 14 days. How many metres does the first digger dig per shift?​? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about :Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many metres more than the second as the second digs more than the first. The third digger’s work in 10 days is equal to the first digger’s work in 14 days. How many metres does the first digger dig per shift?​? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for :Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many metres more than the second as the second digs more than the first. The third digger’s work in 10 days is equal to the first digger’s work in 14 days. How many metres does the first digger dig per shift?​?.
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