SOLUTION: car travels a total of 275 miles in 4 hours, traveling part of the time at 60 mph and part of the time at 74 miles per hour. how long did the car travel at each speed?

Algebra.Com
Question 903271: car travels a total of 275 miles in 4 hours, traveling part of the time at 60 mph and part of the time at 74 miles per hour. how long did the car travel at each speed?
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
a+b=4,
60*a+74*b=275
a=4-b
60*(4-b)+74*b=275
240-60b+74*b=275
14*b=35
b=2.5
a=4-b
a=1.5 hours at 60 mph and b=2.5 hours at 74 mph
check
1.5+2.5=4
60*a+74*b=275
60*1.5+74*2.5=275
90.0+185.0=275
275.0=275
ok

RELATED QUESTIONS

A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and part (answered by chiexpert,mananth)
A car went 372 miles in 6 hours, traveling part of the time at 55 mph and part of the... (answered by ankor@dixie-net.com)
a car went 346 miles in 6 hours. part of the time the car traveled at 45 mph and part of... (answered by josgarithmetic,amarjeeth123)
A car travels 330 miles in 6 hours. It travels at 50 mph for the first two hours and... (answered by palanisamy,stanbon,dabanfield)
A car went 340 miles in 5 hours, travelling part of the time at 55 mph and part of the... (answered by josgarithmetic)
89 miles at a certain speed. the canoist travels 12 miles on the second part of the trip... (answered by ankor@dixie-net.com)
During the first part of a trip, a car travels 50 miles at a certain speed. It then... (answered by stanbon)
The total distance was 540 miles. Part of the joureny was on a motorcylce at 40 mph and... (answered by solver91311)
A car was driven for 2 hours part of the time at 40 miles per hour and the rest of the... (answered by ankor@dixie-net.com)