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16 Jun 2023, 01:30
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:35) correct
19%
(03:03)
wrong
based on 69
sessions
History
Date
Time
Result
Not Attempted Yet
Paul and Kristina own a custom baseball bat company. On a typical work day, Paul makes 18 bats in 8 hours, and Kristina makes 15 bats in 6 hours.
Paul and Kristina just bought a new lathe that lets them both increase their production rate by 25%. With this new equipment, how many completed bats can the two of them make if they both work for 16 hours?
A. 19
B. 38
C. 76
D. 95
E. 100
Paul and Kristina just bought a new lathe that lets them both increase their production rate by 25%. With this new equipment, how many completed bats can the two of them make if they both work for 16 hours?
A. 19
B. 38
C. 76
D. 95
E. 100
16 Jun 2023, 01:58
Kudos
Bookmarks
Before considering the increase in production rate, let's calculate the individual production rates of Paul and Kristina per hour:
Paul's production rate: 18 bats / 8 hours = 2.25 bats/hour
Kristina's production rate: 15 bats / 6 hours = 2.5 bats/hour
To find the total number of bats they can make when working for 16 hours, we need to consider their combined production rate.
Considering the 25% increase in production rate, we can calculate their new individual production rates:
Paul's new production rate: 2.25 bats/hour + 0.25 * 2.25 bats/hour = 2.25 bats/hour + 0.5625 bats/hour = 2.8125 bats/hour
Kristina's new production rate: 2.5 bats/hour + 0.25 * 2.5 bats/hour = 2.5 bats/hour + 0.625 bats/hour = 3.125 bats/hour
Now, let's calculate the total number of bats they can make in 16 hours:
Paul's bats: 2.8125 bats/hour * 16 hours = 45.0 bats (rounded to the nearest whole number)
Kristina's bats: 3.125 bats/hour * 16 hours = 50.0 bats (rounded to the nearest whole number)
Therefore, if Paul and Kristina both work for 16 hours with the increased production rate, they can make a total of 45 + 50 = 95 bats.
Answer is option D.
Paul's production rate: 18 bats / 8 hours = 2.25 bats/hour
Kristina's production rate: 15 bats / 6 hours = 2.5 bats/hour
To find the total number of bats they can make when working for 16 hours, we need to consider their combined production rate.
Considering the 25% increase in production rate, we can calculate their new individual production rates:
Paul's new production rate: 2.25 bats/hour + 0.25 * 2.25 bats/hour = 2.25 bats/hour + 0.5625 bats/hour = 2.8125 bats/hour
Kristina's new production rate: 2.5 bats/hour + 0.25 * 2.5 bats/hour = 2.5 bats/hour + 0.625 bats/hour = 3.125 bats/hour
Now, let's calculate the total number of bats they can make in 16 hours:
Paul's bats: 2.8125 bats/hour * 16 hours = 45.0 bats (rounded to the nearest whole number)
Kristina's bats: 3.125 bats/hour * 16 hours = 50.0 bats (rounded to the nearest whole number)
Therefore, if Paul and Kristina both work for 16 hours with the increased production rate, they can make a total of 45 + 50 = 95 bats.
Answer is option D.
Archit3110
16 Jun 2023, 10:55
Kudos
Bookmarks
from given info we have
( (18/8 *(1.25)) + ( 15/6 * 1.25)) *16 )
option D
( (18/8 *(1.25)) + ( 15/6 * 1.25)) *16 )
option D
Bunuel
