Gautam takes 5 hours to point a wall and Gambhir takes 6 hours to paint the same wall . If they work together , how long will they take to paint the wall?

Open in App

Solution

$\begin{matrix} T i m e t a k e n b y g a u t a m t o p a i n t s t h e w a l l = 4 h o u r s a n d, t i m e t a k e n b y g a m b h i r t o p a i n t s t h e w a l l = 6 h o u r s N o w, T o t a l t i m e t a k e n i f b o t h w o r k t o g e t h e r = \frac{1}{5} + \frac{1}{6} = [\frac{1}{5} \times \frac{6}{6} + \frac{1}{6} \times \frac{5}{5}] t a k i n g r e c i p a l = \frac{30}{11} = 2 \frac{8}{11} H e n c e, i f b o t h w o r k t o g e t h e r = 2 \frac{2}{11} h o u r s . \end{matrix}$

Suggest Corrections

Similar questions

Q. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Q. It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it takes X and Y, if they work together to mow the lawn?

Q. For the same amount of work , A takes 6 hours less than B. If together they complete the work in 13 hours 20 minutes; find how much time will B alone take to complete the work.

Q. If

5

men can paint a wall

100

metres long in

10

days of a

8

hours each. In how many days of

6

hours each will

8

men paint a wall

30

metres long?

Sita can finish typing a $100$ page document in $9$ hours. Mita in $6$ hours and Rita in $12$ hours. How long will they take to type a $100$ page document if they work together?

Join BYJU'S Learning Program

Gautam takes 5 hours to point a wall and Gambhir takes 6 hours to paint the same wall . If they work together , how long will they take to paint the wall?

Timetakenbygautamtopaintsthewall=4hoursand,timetakenbygambhirtopaintsthewall=6hoursNow,Totaltimetakenifbothworktogether=15+16=[15×66+16×55]takingrecipal=3011=2811Hence,ifbothworktogether=2211hours.