Question

how many days does it take a team of drivers to drive a truck california and back to lansing if the drivers average 15m/s including breaks and traffic? california is 1800 miles from lansing

Answer 1

t = 2.2 [days] and is there is a round trip, it will be double time t = 4.4 [days]

Step-by-step explanation:

First, we need to arrange the problem to work in the same unit system (SI).

We need to convert the 1800 [miles] to meters, therefore:

`1800[miles] * (1609.34[m])/(1[mile]) }=2896812[m] = 2896.8[km]`

Now using the following equation of kinematics, for the avarage velocity we have:

`v=(x)/(t) \\where \\v=velocity [m/s]\\t = time [s]\\x=distance traveled [m]\\`

therefore:

`t=(x)/(v) \\t=(2896812)/(15)\\ t=193120.8[s]`

Now we can convert from seconds into days.

`193120.8[s]*(1[hr])/(3600[s])*(1[day])/(24[hr])\\  t = 2.2[days]`

Now if the truck has the need to come back, the team will spend double time.

t= 4.4 [days]