A Hard Problem About Software Work

Algebra Level 2

Five people can develop one software application in 13 days. If 2 people are suspended after the 4th day, how many total days will it take to complete the software application?

Note: Only enter the number, no units.


The answer is 19.

Aronas Nuresi by Aronas Nuresi , 46, India

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4 solutions

Raj Magesh
May 10, 2014

How many man-days of work will it take to develop the software application? 5 × 13 = 65 5 \times 13 = 65 man-days

How many man-days of work will been completed in 4 days with 5 people? 5 × 4 = 20 5 \times 4 = 20 man-days

How many man-days of work are left? 65 − 20 = 45 65 - 20 = 45 man-days

How many days will it take to do that much work with only 3 people left? 45 ÷ 3 = 15 45 \div 3 = 15 days

How many days will it taken in total? 4 + 15 = 19 4+15 = \boxed{19} days

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Aronas Nuresi
May 9, 2014

1 5 × 13 ( 3 d + 2 × 4 ) = 1 \frac{1}{5\times 13}(3d+2 \times 4)=1

∴ d = 19 \therefore d=19

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ramiel To-ong
Jun 20, 2015

using man - days relationship let x = no. of days needed to finish the job after day 4 5x13 = 4(5) + ( 9 + x )3 x = 6 total number of days = 6 + 9 + 4 = 19 days

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Unstable Chickoy
Jun 15, 2014

5 × 4 13 + 3 × ( x − 4 ) 13 = 5 \frac{5\times4}{13} + \frac{3\times(x - 4)}{13} = 5

x = 19 x = 19

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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