A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 5.00 yards per second. What is his speed in furlongs per fortnight?

To find the speed of the race horse in furlongs per fortnight, you need to convert the speed from yards per second to furlongs per fortnight. Here are the steps:

1. Convert the speed from yards per second to furlongs per second.
2. Convert the time period from seconds to fortnights.

Let's proceed with the calculations:

1. Convert the speed from yards per second to furlongs per second: Given: 1 furlong = 220 yards [ \text{Speed in furlongs per second} = \frac{\text{Speed in yards per second}}{220} ] [ \text{Speed in furlongs per second} = \frac{5.00 , \text{yards per second}}{220} ] [ \text{Speed in furlongs per second} = \frac{5.00}{220} ] [ \text{Speed in furlongs per second} ≈ 0.0227 , \text{furlongs per second} ]

2. Convert the time period from seconds to fortnights: Given: 1 fortnight = 14 days = ( 14 \times 24 \times 60 \times 60 ) seconds [ \text{Time in fortnights} = \frac{\text{Time in seconds}}{14 \times 24 \times 60 \times 60} ] [ \text{Time in fortnights} = \frac{2 \times 7 \times 24 \times 60 \times 60}{14 \times 24 \times 60 \times 60} ] [ \text{Time in fortnights} = \frac{2}{14} ] [ \text{Time in fortnights} = \frac{1}{7} ]

Now, multiply the speed in furlongs per second by the time in fortnights to get the speed in furlongs per fortnight: [ \text{Speed in furlongs per fortnight} = \text{Speed in furlongs per second} \times \text{Time in fortnights} ] [ \text{Speed in furlongs per fortnight} = 0.0227 , \text{furlongs per second} \times \frac{1}{7} ] [ \text{Speed in furlongs per fortnight} ≈ 0.00324 , \text{furlongs per fortnight} ]

Therefore, the speed of the race horse is approximately 0.00324 furlongs per fortnight.