Question

Estimate how long it would take one person to mow a football field using an ordinary home lawn mower. Suppose that the mower moves with a 1 km/h speed, has a 0.5-m width, and a field is 360 ft long and 160 ft wide, 1 m-3.281 ft. (Figure 1) O 110 hours O 11 hours O 110 minutes O 11 minutes

Answer 1

Answer:

option B

Explanation:

given,

Length of field = 360 ft

                        = 360/3.281 = 109.72 m    ∵ 1 m = 3.281 ft

width of field = 160 ft

                      = 160/ 3.281 = 48.76 m

width of mower = 0.5 m

number of rounds required

   = $\dfrac{48.76}{0.5}$

   = 97.5

we know,  1 km/h = 0.278 m/s

time taken for each round is equal to

$t = \dfrac{length}{speed}$

$t = \dfrac{109.72}{0.278}$

     t = 394.67 s

total time,

T = 394.67 x 94.5 = 37296.91 s

$T = \dfrac{37296.91}{3600}\ hours$

$T =11\ hours$

Hence. the correct answer is option B