Math, asked by gaurikumari06209, 8 months ago

. Surinder can paint a fence in 1 hour 30 minutes, but
he asks Sunder to help and together they paint the
fence in 1 hour. How long would Sunder take if he
was to paint the fence alone?

Answers

Answered by alkaabhaygupta
0

Answer:

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Answered by Ritu092005
10

Answer:

3 hrs

Step-by-step explanation:

Time taken by Surinder to do the work = 1 hrs 30 mins = 90 mins

Time taken by Sunder to do the same work = x mins

Time taken by Surinder and Sunder to do the same work together = 1 hr = 60 mins

Work done by Surinder in 1 min alone = 1/90

Work done by Sunder in 1 min alone = 1/x

Work done by Surinder and Sunder in 1 min together = 1/60

Thus:

1/90 + 1/x = 1/60

=> (x+90)/(90+x) = 1/60

=> 60x + 5400 = 90x

=> 30x = 5400

=> x = 180 mins = 3 hrs

Therefore, Sunder would take 3 hrs to paint the fence.

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