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# Each boy does exactly 2 units of work per day and each girl does

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1432
Location: India
Each boy does exactly 2 units of work per day and each girl does  [#permalink]

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09 Jun 2018, 10:22
1
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:15) correct 38% (01:37) wrong based on 84 sessions

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Each boy does exactly 2 units of work per day and each girl does exactly 3 units of work per day. Can 4 boys and 3 girls finish the total given work within 6 days?

(1) The total given work is greater than 80 units.

(2) The total given work is lesser than 100 units.
Manager
Joined: 06 May 2018
Posts: 58
Re: Each boy does exactly 2 units of work per day and each girl does  [#permalink]

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09 Jun 2018, 10:25
Clear B. 4 boys and 3 girls can work 20 units per day. For less than 100 units they need together max. 5 days.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2457
Re: Each boy does exactly 2 units of work per day and each girl does  [#permalink]

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12 Jun 2018, 21:44
2

Solution

Given:
• Each boy does exactly 2 units of work per day
• Each girl does exactly 3 units of work per day

To find:
• Can 4 boys and 3 girls finish the total work within 6 days?

Approach and Working:
As each boy does 2 units of work per day,
• In 1 day, 4 boys will do 4 * 2 = 8 units of work

Similarly, as each girl does 3 units of work per day,
• In 1 day, 3 girls will do 3 * 3 = 9 units of work

Therefore, the total work done by 4 boys and 3 girls in 1 day = 8 + 9 = 17 units
So, in 6 days, they will do = 17 * 6 = 102 units of work

Analysing Statement 1
• As per the information given in statement 1, the total work is more than 80 units
• As it is more than 80, it can be more than or equal or less than 102 units
o Depending on whether it is more or equal or less, the work may or may not be completed

Hence, statement 1 is not sufficient

Analysing Statement 2
• As per the information given in statement 1, the total work is less than 100 units
• As the group can complete 102 units of work in 6 days, they will definitely complete the work within time

Hence, statement 2 is sufficient to answer

Hence, the correct answer is option B.

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Re: Each boy does exactly 2 units of work per day and each girl does &nbs [#permalink] 12 Jun 2018, 21:44
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