SOLUTION: MATH PROBLEM: SUE TRAVELS AT A RATE OF 42 MPH. BOB TRAVELS AT A RATE OF 58 MPH AND REACHES HIS DESTINATION 4 HOURS EARLIER THAN SUE. HOW LONG DOES IT TAKE EACH PERSON TO REACH TH

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Question 825685: MATH PROBLEM: SUE TRAVELS AT A RATE OF 42 MPH. BOB TRAVELS AT A RATE OF 58 MPH AND REACHES HIS DESTINATION 4 HOURS EARLIER THAN SUE. HOW LONG DOES IT TAKE EACH PERSON TO REACH THEIR DESTINATIONS? HOW FAR IS THE TRIP TO THEIR GRANDPARENTS HOUSE?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the distance be x
time taken by Sue = x/42
time taken by Bob = x/58
time Sue = Time Bob + 4 hours
x/42= x/58 +4
x/42-x/58 = 4
58x-42x= 4*58*42
16x= 4*58*42
x=4*58*42/16
x=29*21
x= 609 miles distance to grandpa's house
You can calculate time by the formula t= d/r for each of them