You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Time and Work

A and B can d...

Question

A and B can do a working days B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C will do it in -

4 days

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 days

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 days

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

12 days

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 8 days
$\frac{1}{A} + \frac{1}{B} = \frac{1}{8}$ ....(i)
$\frac{1}{B} + \frac{1}{C} = \frac{1}{12}$ ...(ii)
$\frac{1}{A} + \frac{1}{B} + \frac{1}{C} = \frac{1}{16}$ ...(iii)
(iii) - (i)
$\frac{1}{C} = \frac{1}{6} - \frac{1}{8} = \frac{4 - 3}{24} \frac{1}{24}$
(iii) - (ii)
$\frac{1}{A} = \frac{1}{6} - \frac{1}{12} = \frac{2 - 1}{12} = \frac{1}{12}$
$\frac{1}{A} + \frac{1}{C} = \frac{1}{24} + \frac{1}{12} = \frac{1 + 2}{24} = \frac{3}{24} = \frac{1}{8}$
So A, C do in 8 days

Suggest Corrections

Similar questions

A

and

B

can do a work in

8

days,

B

and

C

can do the same work in

12

days.

A, B

and

C

together can finish it in

6

days.

A

and

C

together will do it in:

A and 13 together can do a piece of work in 12 days: B and C can do it in 20 days whilci C and A can do it in 15 days. A. B and C all working together can do it In

(a) 6 days

(b) 9 days

(d) $10 \frac{1}{2}$ days

A

and

B

together can build a wall in

10

days;

B

and

C

working together can do it in

15

days;

C

and

A

together can do it in

12

days. How long will they take to finish the work, working altogether? Also find the number of days taken by each to do the same work, working alone.

Q. Tick (✓) the correct answer:
A and B together can do a piece of work in 12 days; B and C can do it in 20 days while C and A can do it in 15 days. A, B and C all working together can do it in
(a) 6 days
(b) 9 days
(c) 10 days
(d)

10 \frac{1}{2}

days

A

and

B

together can do a piece cf work in

12

days, which

B

and

C

together can do in

16

days. After

A

has been working at it for

5

days and

f o r 7

days,

C

finishes it in

13

days. In how many days

C

alone will do the work

?

Join BYJU'S Learning Program

A and B can do a working days B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C will do it in -

The correct option is C 8 days1A+1B=18 ....(i)1B+1C=112 ...(ii)1A+1B+1C=116 ...(iii) (iii) - (i)1C=16−18=4−324124(iii) - (ii)1A=16−112=2−112=1121A+1C=124+112=1+224=324=18So A, C do in 8 days