Two painters, Ali and Bhavesh, worked together to paint a house. In 4 days, they completed 64% of the work. Ali then left, and Bhavesh finished the remaining 36% of the work in 6 more days.

Consider the following statements:
Statement I: Ali alone could complete the full work in 10 days.
Statement II: The ratio of work rates of Ali to Bhavesh is 2:1.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Two painters, Ali and Bhavesh, worked together to paint a house. In 4 days, they completed 64% of the work. Ali then left, and Bhavesh finished the remaining 36% of the work in 6 more days.

Consider the following statements:
Statement I: Ali alone could complete the full work in 10 days.
Statement II: The ratio of work rates of Ali to Bhavesh is 2:1.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let Ali&rsquo;s 1-day work = A, Bhavesh&rsquo;s 1-day work = B.
From the second phase:
6B = 36% &rArr; B = 6%
From the first phase:
4(A + B) = 64% &rArr; A + B = 16% &rArr; A = 10%
Ali&rsquo;s time to finish the work alone = 100 &divide; 10 = 10 days
Statement I is correct.
A : B = 10 : 6 = 5 : 3 &rArr; Not 2 : 1
Statement II is incorrect.
Hence, option a is correct.

Ratio and Proportion

Work and Time

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M Question 1	⏱ 0
Two painters, Ali and Bhavesh, worked together to paint a house. In 4 days, they completed 64% of the work. Ali then left, and Bhavesh finished the remaining 36% of the work in 6 more days. Consider the following statements: Statement I: Ali alone could complete the full work in 10 days. Statement II: The ratio of work rates of Ali to Bhavesh is 2:1. Select the correct answer from the options below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.

Ratio and Proportion

Work and Time

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