Physics, 10.03.2020 09:09 smuindi3293

Jessica left the hospital and traveled toward the dump at an average speed of 21 mph. Alberto left sometime later traveling in the same direction at an average speed of 35 mph. After traveling for three hours Alberto caught up with Jessica. Find the number of hours Jessica traveled before Alberto caught up.

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Answer from: seraphina05

Jessica traveled 5 hours before Alberto caught up.

Explanation: Let us consider that Alberto started travelling "t" hours after Jessica, So according to the question Alberto caught up with Jessica means Distance traveled by Jessica in t+3 hours = Distance traveled by Alberto in 3 hours.

Jessica traveled for t+3 hours at an average speed of 21 miles per hour (mph) so, total distance covered by Jessica is:

$Distance = Speed \times Time$

Distance (Jessica) = $21 \times (t+3)$ ...................Equation (1)

Alberto traveled for 3 hours at an average speed of 35 miles per hour (mph) so, total distance covered by Alberto is:

$Distance = Speed \times Time$

Distance (Alberto) = $35 \times 3\\$ = 105 miles ...................Equation (2)

Equating both the distances in equation 1 & 2

$21 \times (t+3) = 105$

21 t + 63 = 105

Subtracting 63 from equation, both the sides

21 t = 105 - 63

21 t = 42

Dividing the equation by 21, both the sides

t = 2 hours.

Jessica traveled 2 hours extra relative to Alberto.

So Jessica traveled 5 hours (2 + 3) total, before Alberto caught up.

Answer from: Quest

the cellphone, they would then know if the killer would have contacted them or always hated them. or if it was a breakup. but if that is not the case, then it would be the clothing. to put in a bullet, it would have to be put in by hands. hands have finger prints which, would have giving you the answer of who done it.

explanation:

Answer from: Quest

An atom (ours, not carroll's) consists of a positively charged nucleus, surrounded by one or more negatively charged particles called electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6 nm. * if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -

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