29. A team of miners planned to mine 1800 tons of
ore during a certain number of days. Due to techni-
cal difficulties in one-third of the planned number of
days, the team was able to achieve an output of 20
tons of ore less than the planned output. To make
up for this, the team overachieved for the rest of
the days by 20 tons. The end result was that the team
completed the task one day ahead of time. How many
tons of ore did the team initially plan to ore per day?
Answers
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Answer:
100 Tons per day
Step-by-step explanation:
The best possible method to solve this question quick is to go through the options. Here the options are
a) 50 Tons b) 100 Tons c) 150 Tons d) 200 Tons
a) 1800/50 = 36 Days (As it is mentioned in the question that there was a technical glitch for 1/3rd days that means the total days have to be a multiple of 3). (36 = 12+12+12) (50 per day planned)
b) 1800/100 = 18 Days ( 18 = 6+6+6) (100 per day planned)
c) 1800/150 = 12 Days ( 12 = 4+4+4) (150 per day planned)
d) 1800/200 = 9 Days (9 = 3+3+3) (200 per day planned)
Between A,B,C,D applying the given equation,
a) 12 x (50-20) + 23 (50+20) is not equal to 1800 so not our answer. Here we took 23 as the work was completed a day earlier.
b) 6 x (100-20) + 11 (100+20) = 480+1320 = 1800 (This is our answer)