# SOLUTION: Please help me with this problem as I am terrible at math. It comes from a worksheet. John drove to his uncle’s house in a distant city and the trip took 5 hours. When he return

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 Word Problems: Travel and Distance Solvers Lessons Answers archive Quiz In Depth

 Question 85500: Please help me with this problem as I am terrible at math. It comes from a worksheet. John drove to his uncle’s house in a distant city and the trip took 5 hours. When he returned home, there was less traffic and the trip only took 3 hours. If John drove 26 miles per hour faster on the return trip, how fast did he drive each way? Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!John drove to his uncle’s house in a distant city and the trip took 5 hours. When he returned home, there was less traffic and the trip only took 3 hours. If John drove 26 miles per hour faster on the return trip, how fast did he drive each way? : Let s = speed to Then (s+26) = speed back : We know the distance there and back is the same so we can make a simple equation from that fact: Distance = time * speed: : To dist = back dist 5*s = 3(s+26) 5s = 3s + 78 5s - 3s = 78 2s = 78 s = 78/2 s = 39 mph to, and 39+26 = 65 mph on the return trip ; : A good way to check our solution is find the distances, they should be equal: 5 * 39 = 195 3 * 65 = 195 also, proves our solutions : That's not so hard, is it? Did it make sense to you?