Ted made a trip to his friends house and back. on the trip there he traveled 25 km/h and on the return trip he went 20 km/h. how long did the trip there take if the return trip took five hours?

Speed = distance/time

distance = speed * time

The return trip took 5 hours, so the time of the return trip is 5 hours.
The speed of the return trip is 20 km/h.

distance = speed * time = 20 km/h * 5 hours = 100 km

The distance is 100 km.
On the way to the friend's house, he traveled at 25 km/h.

time = distance/speed

time = (100 km)/(25 km/h) = 4 hours

It took him 4 hours to get to the friend's house, and it took him 5 hours to get back. The entire trip took 4 hours + 5 hours = 9 hours.
It took him

Ais the correct answer

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!