Answer:
The car traveled;
a) for 4.4 hours with speed of 55 miles / hour
and
b) for 1.6 hours with speed of 65 miles / hour
Explanation:
Let the time taken by the car while moving with speed 55 miles per hour = x hours
Then remaining time the car move at speed of 65 miles per hour is =6-x hours
using formula
S= V ×T
Where S= distance
V = speed
T = time
First case
S= ?
V=55 m/h
T= x hours
put values in formula above
==> S= V ×T
==> S1= 55 × x = 55 x miles
Second case
S=?
V= 65 m/h
T= ( 6-x ) hours
Putting values in formula above
S= V ×T
==> S2= 65 × (6-x) =65(6-x) miles
Total distance covered by the car = S1+S2=55x+65(6-x)
= 55x+ 390-65x
= -10x+390 miles
But total distance given is 346 miles
==> -10x+390=346
==> -10x=346-390
==> -10x = -44
==> x=44/10=4.4 hours
So, car traveled for 4.4 hours with speed of 55 miles / hour and for 1.6 hours with speed of 65 miles / hour
