How long will it take to mow the runway
Category Math Puzzle
It's been a while since I posted a puzzler, so here's one for you (and this is a real scenario). A friend recently purchased a second hand lawn mower. It has a 48inch cutting area. They purchased the lawn mower to mow their lawn but also to mow their planned grass strip airfield.
The runway is 1800 feet long and 60 feet wide. The runway is 7-25 (which means it's 70 degrees in one direction and 250 in the other). As mentioned earlier the mower has a 48 inch blade, and he'll overlap the cutting by approx. 12 inches on each pass. The mower cuts at 8 mph. So the question is, how long will take my friend to mow his grass strip?
It's been a while since I posted a puzzler, so here's one for you (and this is a real scenario). A friend recently purchased a second hand lawn mower. It has a 48inch cutting area. They purchased the lawn mower to mow their lawn but also to mow their planned grass strip airfield.
The runway is 1800 feet long and 60 feet wide. The runway is 7-25 (which means it's 70 degrees in one direction and 250 in the other). As mentioned earlier the mower has a 48 inch blade, and he'll overlap the cutting by approx. 12 inches on each pass. The mower cuts at 8 mph. So the question is, how long will take my friend to mow his grass strip?
Comments
For each pass the lawnmower will cut 3 feet (48 inches - 12 inch overlap). So 60 feet divided by 3 feet will mean that 20 passes will be needed to be made and 20 times 1800 feet will mean 36,000 feet will be covered in those 20 passes. So if you take this number and divide by the number of feet in a mile (5,280) you will find that the total # of miles covered in 20 passes is 6.82 miles and therefore since the mower cuts at 8 mph your friend should be done in less than 1 hour. Again, this assumes that my math is correct. :)
Posted by Jack Ratcliff At 02:48:35 PM On 06/12/2009 | - Website - |
It'll be like the Forth Road Bridge. Once you've finished at one end it'll be time to start at the other end again.
I would attempt to work it out, but there is just one problem. { Link }
Posted by Dragon Cotterill At 02:48:40 PM On 06/12/2009 | - Website - |
The runway is 60 ft wide = 720 inches.
The first pass is 48 inches wide, the following are 36 inches (12 inch overlap). 720-48 leaves 672 inches to cut in 36 inch passes, which is 18.6 passes. This makes a total of 19.6 passes, which really mean 20 passes.
20 passes at 1800 ft = 36000 ft, which is 6.82 miles. With a speed of 8 miles per hour, it will take 0.8525 hours, or 52.95 min.
Posted by Karl-Henry Martinsson At 02:51:04 PM On 06/12/2009 | - Website - |
Posted by Glen At 03:17:09 PM On 06/12/2009 | - Website - |
Oh-oh, don't forget the moisture content of the grass. That could really bog things down.
Is the mower gas or diesel? Hmmm.
Posted by Chris Mobley At 04:00:50 PM On 06/12/2009 | - Website - |
Posted by Rich Tyler At 04:01:11 PM On 06/12/2009 | - Website - |
Posted by Glen At 06:22:37 PM On 06/12/2009 | - Website - |