Mr. Smith went to visit his daughter. The trip took 7 hours. On the return trip he went by a scenic route which was 20 minutes longer. He drove 5 mph slower and it took him 8 hours. How far did Mr. Smith drive?

Question

anonymous · Answer

I'm confused here. The scenic route is 20 minutes longer, but it took him an extra hour to drive it?

anonymous · Answer

and he was driving 5mph slower on the way back

anonymous · Answer

Incorporating those details into an equation is what is throwing me off

anonymous · Answer

So it would be 20 minutes longer if he drove at the same speed as before; but it took him an extra hour because he drove slower?

anonymous · Answer

I think it took him 20 minutes longer at the slower rate.

anonymous · Answer

The whole journey took 8 hours on the way back (1 hour more than the journey forward), so maybe he took 3 scenic routes?

anonymous · Answer

$${{d} \over {7} }-5={{d} \over {8- { {1} \over {3}} }}  $$

anonymous · Answer

I came up with that with I though excluded the 20 minute detour

anonymous · Answer

I honestly don't know how to answer it.

anonymous · Answer

Ah well, thanks for trying to help