Carl is eating lunch at his favorite cafe when his friend Isaac calls and says h
ID: 1882959 • Letter: C
Question
Carl is eating lunch at his favorite cafe when his friend Isaac calls and says he wants to meet 155 miles away, and wants to meet Carl somewhere between the two locations. Isaac says he will start driving right away, but Carl needs 31.0 min to finish his lunch before he can begin driving. him. Isaac is calling from a city ISsaac plans to drive at 65.0 mph, and Carl plans to drive at 55.0 mph. Ignore acceleration and assume the highway forms a straight line How long will Isaac be driving before he meets Carl? Isaac's driving time: min How far will Carl have traveled by the time he meets Isaac? Carl's distance traveled: milesExplanation / Answer
Given Vcarl =(55/60) miles/min
Visaac=(65/60) miles/min
Distance travelled by carl
D Carl=Vcarl(t-31)
Distance travelled by isaac
Disaac=Visaact
Given
Dcarl+Disaac =155
=>Vcarl(t-31)+Visaact=155
(55/60)(t-31) +(65/60)t=155
2t=183.41667
t=91.71 min
b)
Dcarl =(55/60)(91.71-31)
Dcarl=55.65 miles