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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John drove to his uncle’s house in a distant city and the trip took 5 hours. When he return
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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?
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
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That's not so hard, is it? Did it make sense to you?
