In a race from point X to point Y and back, Jack averages 30 miles per hour to point Y and 10 miles per hour b
971002
If XY=1 then,\nJack :\n1/30+1/10\n=1/30+3/30 \n=4/30\n=2/15\nand Sandy:\n1/20+1/20\n=2/20\n=1/10\n \nJ:S=2/15:1/10\n=30*2/15:30*1/10\n=4:3\n\nJack would wast more times than Sandy,\nSandy will finish first.
718292
40 miles per hour.  For instance if it is a 120 mile trip (one way) it will take 4 hours there, and 2 hours back.  \n\n6 hours for a 240 mile round trip.  6/240 is 40 mph.
963839
1) two hours from 9 to 11. so distance 45*2 = 90 km\n\n2) The car has done 100+108= 208 km in 5 hours\nthe speed is 208/5 = 41.6 kph
862322
30km/hr * 1/3 hr = 10 km\n(Note 20 min = 1/3 hr)\n10km / 25 km/hr = 0.4 hr = 24 min
685470
the speed = distance/time
931765
1. d=t, any form of d=t+b would be parallel. b = any number. That is a line.\n\n2. d=t would also work here.\n\n3. Well if you go 60 MPH and you wnat to know how many miles a minute you can go convert using (60miles/hour)*(1hour/60minutes) and you get 1mile/minute. If you need feet, 1 mile is 5280 feet, so 5280 feet/minute
1008561
so do they start from the same place? \n             rate    x     time            =       distance\nJack  5 (mph)      x (hours)                  5x (miles)\nJill      8 (mph)   x-.5 (hours)               8x-4 (miles)\nthe distance when jill catches up with jack will be the same since they have both traveled the same distance\n5x=8x-4\n4=3x\nx=1+1/3\nso jacks been going for 1+1/3 hours or 1:20. that much past 1:00 pm is 2:20\nI hope this makes sense to your wife!
742241
The second problem is easier than the first problem, so I'll tackle it first.\n\nLet's imagine that the trip is 120 miles. The distance doesn't matter if the average rates are as given above.\n\nIt takes 3 hours to travel 120 miles at 40 miles per hour.\nIt takes 2 hours to travel 120 miles at 60 miles per hour.\n\nSo it took 5 hours to travel a total of 240 miles.\n\nThis is an average rate of 48 miles per hour.\n\nI'll work on the first problem and hopefully I'll get back to you.\n\nUPDATE\n\nI think I have the first problem solved as well. It involves an infinite series! Call the people involved A and B.\n\nThe probability that A wins on the first toss is 1/2.\n\nIf A doesn't win on the first toss, then the probability that B wins on the second toss is also 1/2. But this only happens in 1/2 of all games. (In the other half, A won on the first toss.)\n\nIf B doesn't win on the second toss, the the probability that A wins on the third toss is also 1/2. But this only happens in 1/4 of all games (In half the other games, A won on the first toss. In half the remaining games - 1/4 of all games, B won on the second toss.\n\nFollowing this logic, A wins:\n\n1/2 + 1/4(1/2) + 1/16(1/2) + 1/64(1/2) + ...\n\nof all games.\n\nB wins:\n\n1/2(1/2) + 1/8(1/2) + 1/32(1/2) + ...\n\nof all games.\n\nLooking again at A, we have:\n\n1/2(1 + 1/4 + 1/16 + 1/64 + ...)\n\nThe term in parentheses is an infinite series having initial term 1 and ratio 1/4.\n\nThe sum of an infinite series having ratio whose absolute value is less than 1 is equal to:\n\na/(1 - r)\n\nWith a = 1, and r = 1/4, the sum = 4/3. So:\n\n1/2(1 + 1/4 + 1/16 + 1/64 + ...) = 1/2 * 4/3 = 2/3\n\nLooking again at B, we have:\n\n1/2(1/2 + 1/8 + 1/32 + 1/128 + ...)\n\nThis sum should be half of the sum of the infinite series in A.\n\nWith a = 1/2 and r = 1/4, a/(1 -r) = 2/3\n\nSo:\n\n1/2(1/2 + 1/8 + 1/32 + 1/128 + ...) = 1/2 * 2/3 = 1/3.\n\nA should win 2/3 of the time, and B should win 1/3 of the time. There is an advantage to going first!
797399
velocity=107,300 km/h (or if you prefer 67,062 miles per hour)
732600
SRY!! Matt is going to a basketball game out of town. If he could travel 75mph, He would arrive one hour early. If he could travel 45mph he arrives one hour too Late. How far is Matt's trip\n\ndis=75*(time-1)\ndis=45*(time+1)\n\nthen\ndis= 225mile,    time=4hour
443173
This problem can be solved using v^2=2ax, where v is the velocity, a is the acceleration due to gravity, and x is the distance (this is a simplified version of a more complex equation, but this equation will work for this scenario).\n\na=32.15 ft/ s^2\nx= 30 ft\n\nSo, v^2=2(32.15ft/s^2)(30ft)\n\nOnce you solve and convert to miles per hour, you get approximately 29.9 mph.
544642
3 feet per hour\n3 1/3 city blocks per hour\n62 miles per hour
403577
You have miles per minutes, and you want to convert it to miles per hour.  Set it up as fractions so the units cancel out, like this:\n\n1mile/8minutes * 60minutes/1hour  Now the minutes cancel and miles/hour is the final units.  Now just do the math.  60/8 = 7.5 mph.
418235
5579154 Miles per Hour
893501
44.44444 mph.  If the distance of one leg is x miles, then you drove a total of 2x miles in (x/40 + x/50) hours.  Divide the total distance driven by the total time spent driving, and you get 200/9, or 44.444... mph
810178
180 miles per hour to go 400 miles is 2.22 hours or about 2 hours and 18 minutes. Stopping for 2 minutes would make the total time 2 hours and 20 minutes.
1141600
About 30 minutes long.