I took advantage of a lovely summer's evening and went out for a walk yesterday. I left home at three o'clock and walked along a level road, up a hill, back down the hill, and home , without stopping. I got back at nine o'clock. My pace on the flat was four miles per hour, uphill was three miles per hour, and a speedy six miles per hour downhill.
How far did I walk and, to within half an hour, what time did I reached the top of the hill?
24 miles.
6 miles out on flat took 1 1/2 hrs at 4mph
6 miles up hill took 2 hrs at 3mph
6 miles back down took 1 hr at 6mph
6 miles home on flat took 1 1/2 hrs at 4mph.
total the 6 hrs you were out walking.
got to top of hill at 6.30.
one of your questions where there's more than a single answer.
eg.
24 miles
10 miles out on flat at 4 mph took 2 1/2 hrs
2 miles up hill at 3 mph took 40 minutes.
2 miles back down at 6 mph took 20 minutes.
10 miles back home at 4 mph took 2 1/2 hrs.
total time 6 hrs walking.
got to top of hill at 10 past 6 so to nearest 1/2 hr that would be 6 o'clock.
one of your questions where there's more than a single answer.
The criteria says "to within half an hour", not to the nearest half hour. There are two solutions… but both give the same (within half an hour) answer.
Well done terry1966!
How about some Oatmeal-Raisin cookies: [external image: Posted Image]
thanks..
curious which answer did you have?
and i can come up with at least another answer where you got to the top of the hill at 6.50
walk 2 miles takes 1/2 hr
up 10 miles hill takes 3hrs 20 minutes
walk 10 miles down hill takes 1hr 40 minutes
walk 2 miles home takes 1/2 hr.