Answer:
The first car reaches its destination at 11 hours
Step-by-step explanation:
Distance Traveled
The distance X traveled by and object moving at constant speed is given by:
X=v.t
Where v is the speed and t is the time.
We are given some input data. Two cars travel the same distance, let's call it X. The first car travels at 40 mph and reaches its destination in t hours.
We also know the second car travels at 55 mph and reaches the destination 3 hours earlier. The time used by the second car is t-3 hours
The equation for the distance of the first car is
X=40t
The equation for the distance of the second car is
X=55(t-3)
Both distances are the same, thus
40.t=55(t-3)
Operating:
40t=55t-165
Joining like terms:
15t=165
Solving:
t=165/15
t=11 hours
The first car reaches its destination at 11 hours.
