Question

Report Error I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten their 40 minutes later. How many miles did I drive

Answer 1

201miles

Step-by-step explanation:

Distance = speed x time

With this formula we will obtain the other formulas to solve the problem

In this case the variable that changes is the speed, the distance remains constant and is the incoginite , but FIRST, we must known the time he has been traveling.

then for the first case

Distance = 60mph x time

and for the second case

Distance = 50mph x (time + 40mintues)

40 minutes= 0,67 hours

matching the two equations

Distance = Distance

60mph x time = 50mph x (time + 0,67hours)

60mphTime = 50mphTIme + 33,5mph

10mphTime = 33,5mph

Time = 33,5mph / 10mph

Time = 3,35 hours

In the first equation

DIstance = 60mph x 3,35 hours

Distance = 201 miles

in equation 2

Distance = 50mph x (3,35 hours + 0,67hours)

Distance = 201miles