Carl is eating lunch at his favorite cafe when his friend Isaac calls and says h
ID: 1882994 • Letter: C
Question
Carl is eating lunch at his favorite cafe when his friend Isaac calls and says he wants to meet him. Isaac is calling from a city 125 miles away, and wants to meet Carl somewhere between the two locations. Isaac says he will start driving right away, but Carl needs 25.0 min to finish his lunch before he can begin driving. Isaac plans to drive at 75.0 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?
Explanation / Answer
here,
the initial distance , s = 125 miles
let the time taken by Issac to meet Carl be t
so,
s = speed of Carl * ( t - 25/60) + speed of Issac * t
125 = 55 * ( t - 5/12) + 75 * t
solving for t
t = 1.14 hr
the time taken by Issac is 1.14 hr
so, the distance travelled by Issac , s1 = speed of Issac * t
s1 = 75 * ( 1.14) miles
s1 = 85.3 miles