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07 Feb 2021, 23:01
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Difficulty:
85%
(hard)
Question Stats:
49% (02:39) correct
51%
(02:41)
wrong
based on 82
sessions
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Adam and Bart are planting trees in a garden, and after some time, a third gardener, Carol, joins them, and the number of trees planted becomes half as large. How many trees can Bart plant as a percentage of the number of trees planted by Adam, if it is given that the efficiency of Bart is 1/3 of Adam and Carol combined?
A. 60%
B. 65%
C. 70.5%
D. 75%
E. 92%
A. 60%
B. 65%
C. 70.5%
D. 75%
E. 92%
07 Feb 2021, 23:27
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Quote:
This means - If A and B could plant x trees, now there are 1.5x trees planted.
Let the number of trees that are planted by A, B and C be a, b and c.
But let us take total number that A and B can plant together be 100, as we are dealing in %. So, with the help of C they can now plant \(100*\frac{3}{2}=150.\)
a+b=100, and c=50
Quote:
This means B can do 1/3 rd of the work of A and C => \(b=\frac{1}{3}(a+c)........a+c=3b.......a=3b-c\)
But \( a+b=100.....3b-c+b=100........4b=100+c=100+50=150.....b=\frac{150}{4}=\frac{75}{2}\)
So \(a=100-\frac{75}{2}=\frac{125}{2}\)
b as a % of a= \(\frac{\frac{75}{2}}{\frac{125}{2}}*100=\frac{75}{125}*100=\frac{3}{5}*100=60\)%
A
25 Mar 2021, 22:22
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What's the question source?
'half as large' means a decrease.
'and the number of trees planted becomes half as large' doesn't clearly refer to rate for me
I think it's a great question apart from this confusion
'half as large' means a decrease.
'and the number of trees planted becomes half as large' doesn't clearly refer to rate for me
I think it's a great question apart from this confusion
