we've got seven, 350 pound men in a pick-up truck,?

Question

if there are seven, 350 pound men, traveling in the back of a pick-up truck going 100 miles per hour, and this truck slows to 25 miles per hour for 5 minutes to pick up another 350 man, how long will it take this truck to travel 100 miles????

Answer 1

Forever. The truck will either break down under the load, or the whole bunch thrown in jail for speeding, reckless endangerment, and probably public drunkeness, assuming no one falls out and breaks his neck.

Answer 2

First, diregard the number and weight of the men. All you need worry about are speed, distance and time relashionships.

Speed = distance / time

the truck is travelling at 25 mph for 5 minutes, and at 100 mph for some unknown time (less than one hour, because had it gone at 100 mph for one hour it would have travelled 100 miles).

Now : 5 minutes is 1/12 of an hour, so at 25 mph the truck moved (25)x(1/12) = 25/12 miles or 2.083 miles

now to go the rest of the distance 100-2.083 = 97.91 miles the truck would need (97.91/100) of an hour. Remember the truck is travelling at 100 miles every hour, so to travel 97 miles you would need 97/100 of the time (an hour).

So, (97.91/100) x (60 minutes / hour) = 58.75 minutes (remeber back when I told you it had to be less than an hour, for this portion).

So the total time is = 58.75 minutes + 5 minutes = 63.75 minutes
(do not ever forget to add the original time given in the problem).

63.75 minutes or 1 hour 3 minutes 45 seconds.

Now check does this seem reasonable ? if going 100 mph and you want to go 100 miles it would take you an exact hour ! hence 100 miles per hour, or 100 miles every hour. so if you slowed down a bit and still wanted to go 100 miles it would take you a little more, get it. so the answer is reasonable.


Another way to do this is :

let 't' be the unknown time, so using

distance = speed x time

100 = 25(5/60) + 100 t

so 100 t = 100-((25(5/60))
so t = 100-((25(5/60)) / 100
so t = 0.979 of 1 hour, 0r 0.979 x 60 minutes/ 1 hour = 58.75 minutes , the same as the first time.

The total time is 58.75 minutes + 5 minutes = 63.75 minutes.

Hope this helps !

Answer 3

63 minutes.

In real life, add a minute or two for loading the other man. I dont know many that can board a truck doing 25 miles an hour.
I suppose this question doesnt include the distance it took to get the vehicle to reach its initial 100 miles an hour either.
Nice question. Now which way does the smoke blow on an electric train travelling down wind ?

Answer 4

Boy, since it's a truck, the speed is governed by the amount of throttle/accelerator you provide to the engine (Assuming the total load is within the carrying capacity of the truck).

Hence, no impact will be made to the truck's speed by loading/unloading within the carrying capacity. Further, since acceleration/ deceleration are not mentioned, we will neglect these.

Now, distance covered in 5 minutes @ 25 mph
= speedx time= 25 x 5/60= 25/12= 2..08333 miles.

100-25/12= 1175/12miles

time taken to travel 1175/12 miles @ 100 mph
= 1175/12 (1/100) hrs
= 1175/1200 hrs
= 1175/1200 (x60) minutes
= 58 minutes 45 seconds

Thus, total time taken = 58 minutes 45 seconds + 5 minutes = 63 minutes 45 seconds
= 1 hr 3 minutes 45 seconds ---------------- Answer

Answer 5

at 25miles /hr in 5 minuted distance covered is= 5*25/60 = 2.08333 miles
distance left is = 97.66666 miles
at 100miles/hr times taken to cover this distance is = 0.976666hrs
so total time takes is = 5/60 +0.97666666 = 1.059999999
total distance = 100 miles so avg. speed = 100/1.05999999
= 94.339 miles per hour

Answer 6

~~~Im sorry,,, I dont know the answer to this question,,because where will you find 7 and now 8 350 pound men all in the same place,,,,,plus didnt your mom ever tell you not to pick up hitchhikers??