Excavation by excavators

The excavation for the gas supply to Jarešov would be dug by the first excavator in 9 days. After two days, the second excavator began to work on the excavation. Both excavators together finished the work in another 4 days.

a) In how many days would the second excavator dig the entire excavation?
b) On which day would the work be finished if both excavators had been digging the excavation from the beginning?

We hint for a): First find out what part of the excavation the first excavator will dig in two days.

Final Answer:

a =  12 d
b =  5 d

Step-by-step explanation:


a · (2+4)/9 + 4 = a

3a = 36


a = 36/3 = 12

a = 12

Our simple equation calculator calculates it.

b·(1/9 + 1/12)=1

7b = 36


b = 36/7 = 5.14285714

b = 36/7 ≈ 5.142857

Our simple equation calculator calculates it.



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