An Arithmetic for Preparatory Schools, High Schools, And Academies

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26. By a pipe of a certain capacity a cistern can be emptied in 3^ hours ; in what time can it be emptied by a pipe, the capacity of which is | greater ?
Compound Proportion.
106. An expression of equality between a compound ratio and a simple ratio, or between two compound ratios, is called a compound proportion.
I. If 4 men dig a trench 84 feet long and 5 feet wide in 3 days of 8 hours each, how many men can dig a trench 420 feet long and 3 feet wide in 4 days of 9 hours each ?
Since the nnsw
...er is to be men, make 4 men the tliird term. The : 4 : a;. number of men required depends upon four conditions — the length of the trencli, the width of the ifa ? 2 a /f trench, the number of days, and the ^^ mx^xaxsxf ^g men- number of hours per day; all of 84 : 420 5:3 4:3 9:8 yT-X^XiX9 4, . , -1 1 • . .• g tliesc must be considered ni statmg the problem. A trench 420 ft. long will require more men than a trench 84 ft. hmg, and the first ratio is 84:420; a trench 3 ft. wide will require less men than a trench 5 ft.

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