. 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
0
Answer:
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Answered by
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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