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16 Sep 2014, 01:07
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If two excavators, both working at the same constant rate, can dig a 10-meter-long trench in 50 minutes, how long will it take three same type excavators to dig a 15-meter-long trench?
A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes
A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes
16 Sep 2014, 01:07
Kudos
Bookmarks
Official Solution:
If two excavators, both working at the same constant rate, can dig a 10-meter-long trench in 50 minutes, how long will it take three same type excavators to dig a 15-meter-long trench?
A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes
A single excavator can dig a 10-meter-long trench in 50*2 = 100 minutes. Therefore, it would take 100*1.5 = 150 minutes to dig a 15-meter-long trench.
Consequently, three excavators working together can complete a 15-meter-long trench in \(\frac{150}{3}=50\) minutes.
Answer: B
If two excavators, both working at the same constant rate, can dig a 10-meter-long trench in 50 minutes, how long will it take three same type excavators to dig a 15-meter-long trench?
A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes
A single excavator can dig a 10-meter-long trench in 50*2 = 100 minutes. Therefore, it would take 100*1.5 = 150 minutes to dig a 15-meter-long trench.
Consequently, three excavators working together can complete a 15-meter-long trench in \(\frac{150}{3}=50\) minutes.
Answer: B
19 Oct 2023, 14:20
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
