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

Answer:

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

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:

$1800[miles] * \frac{1609.34[m]}{1[mile]} }=2896812[m] = 2896.8[km]$

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

$v=\frac{x}{t} \\where \\v=velocity [m/s]\\t = time [s]\\x=distance traveled [m]$

therefore:

$t=\frac{x}{v} \\t=\frac{2896812}{15}\\ t=193120.8[s]$

Now we can convert from seconds into days.

$193120.8[s]*\frac{1[hr]}{3600[s]}*\frac{1[day]}{24[hr]}\\  t = 2.2[days]$

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

t= 4.4 [days]