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6 pumps can irrigate a large farm in 4 days if they work for 8 hours each day. How many minutes each day did pumps work if the same farm was irrigated in12days.

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194

177

192

132

answer is C.

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Detailed Solution

Part of farm irrigated if 6 pumps work for 4

\times

8=32 hours =1
Part of farm irrigated if 6 pumps work for 1 hour=

\frac{1}{32}

Part of farm irrigated if 1 pump work for 1 hour=

\frac{1}{6 \times 39}

Lot 5 pump work for x hours to irrigated farm for in 12 days
Part of farm irrigated if 5m pump work for 1 hour=

\frac{5}{32 \times 6}

Part of farm irrigated if 5m pump work for 12 hour=

\frac{5 \times 12 x}{32 \times 6}

\frac{5 x}{16}

\frac{5 x}{16}

=1 5x=16
x=

\frac{16}{5}

\times

50
x=192 minutes
Hence option 3 is correct

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