Question

A boundary wall of length 8 km is to be built to the north of desert island Miramar. Two workers A and B can build 50 m and 70 m per day respectively. But A takes day off after working every 3 days and B takes 2 days off after working every 4 days. In how many days the wall will be built? (A) 93 days (B) 94 days (C) 95 days (D) 96 days (E) None of These

Answer 1

Hey Buddy

Here’s the answer...

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# From attachment it is clear that the same pattern of working is followed after 12 days ..

#No work is done on 12th day

=> A and B together make 120 meter a day

So ,

=> In 12 days 1010 meter wall will be constructed

=> 12 days = 1010 meter

=> 1 meter = 12 / 1010 days

We know 8 Km = 8000 m

=> 8000 m = 12 * 8000 / 1010 days

=> 8000 m = 95.04 days

=> so it will take 95 days to buit that wall

HOPE HELPED

JAI HIND

:)

Answer 2

$\huge{\pink{\underline{\mathfrak{your\:answer}}}}$

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$\bold{(C)\:95\:days}$

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step-by-step explanation:

Given,

A takes day off after working every 3 days

It means that,

A won't work on

4th, 8th, 12th, 16th.....days



Similarly,


B takes 2 days off after working every 4 days

It means that,

B won't work on

5th, 6th, 11th, 12th......days



Therefore,

we see that,

on every 12th day , no work is done,

i.e., on 12th, 24th, 36th......days

no work is done by any of A and B.



Now,

total length of wall that can be built both by A and B = (70+50) = 120m

Therefore,

in 12 days,

(50×9)+(70×8) = (450+560) = 1010 m wall is built.

now,

Using unit and proportion,

12 days = 1010 m

=> 1 m = $\frac{12}{1010}$ days

length of wall required to be built = 8 km

i.e., 8000 m (°.° 1km = 1000m)

=> 8000 m = $\frac{12×8000}{1010}$ days

=> 8000 m = 95.04 days

=> 8000 m = 95 days

Hence,

it will take $\bold{95\:days}$ to build the wall.

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