Question

geophysicists estimate that india and australia are moving apart at a speed of 0.305 inches per month. which of the following best approximates this speed in terms of yards per century? a. 0.102 b. 3.660 c. 7.084 d. 10.167

Explanation:

Step1: Convert inches to yards

1 yard = 36 inches. So 0.305 inches = $\frac{0.305}{36}$ yards.

Step2: Calculate inches per century

There are 12 months in a year and 100 years in a century. So the number of months in a century is $12\times100 = 1200$ months.
The speed in inches per century is $0.305\times1200$ inches per century.

Step3: Convert inches - per - century to yards - per - century

The speed in yards per century is $\frac{0.305\times1200}{36}$ yards per century.
$\frac{0.305\times1200}{36}=\frac{366}{36}\approx 10.167$ yards per century.

Answer:

D. 10.167