In a system of units, the units of mass, length and time are called pail, jack, and jill. 1 pail = 5 kg, 1 m = 5 jacks and 24 s make 1 jill. What are the unit of density and speed in the new system?

(pails)(jack)−3

(pails)(jills)−2

(jack)2(jill)

(pails)(jack)2

A

(pails)(jack)−3

B

(pails)(jills)−2

C

(jack)2(jill)

D

(pails)(jack)2

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Solution

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The unity of density=unitofmass(unitoflength)3=(pails)(Jack)−3

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