Problema Solution
Bernie lives in Boston. Tina lives 1175 miles away in Florida. At 9:00 on December 24th, Bernie heads south at a speed of 51 mph. At 11:00 on December 24th, Tina heads north at a speed of 65 mph. What time will Bernie and Tina pass each other? What is the formula?
Answer provided by our tutors
Tina and Bernie travel in opposite directions
d = 1175 mi the distance between them
v1 = 51 mph the speed of Bernie going South
v2 = 65 mph the speed on Tina going North
Bernie starts his journey at 9:00 and Tina 2 hours later at 11:00
t = the time of the travel of Tina
t + 2 = the time of the travel of Bernie
the formula for speed = distance/time => distance = speed*time
the distance Tina traveled + the distance Bernie traveled = d
the formula is
v2*t + v1*(t + 2) = d
65t + 51(t + 2) = 1175
by solving the equation we find
t = 9.25 h = 9 h 0.25*60 min = 9 h 15 min
t = 9 h 15 min
click here to see the step by step solution of the equation
9h 15 min after 11:00 is 19:15 - the time when Bernie and Tina will pass each other.