Question

9. Gautam takes 5 hours to paint 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?​

Answer 1

Answer:

30/11

Step-by-step explanation:

Gautam takes 5 hours to paint the wall.

In 1 hour, Gautam will paint ( 1 / 5 ) of the wall.

Gambhir takes 6 hours to paint the wall.

In 1 hour, Gambhir will paint ( 1 / 6 ) of the wall.

Adding the part of wall Gautam and Gambhir paint in 1 hour,

( 1/5 + 1/6 )

( 6/30 + 5/30 )

( 11 / 30 )

Hence in 1 hour, Gautam and Gambhir will together paint ( 11 / 30 ) of the wall.

Therefore,

Gautam and Gambhir will together take ( 30 / 11 ) hours i.e. ( 2 8/11 ) hours to paint the wall.

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