SOLUTION: Two cyclists start at the same point and travel in opposite directions. One cyclist travels 8 mph slower than the other. If the two cyclists are 136 miles apart after 4 hours, wha

Question 1168737: Two cyclists start at the same point and travel in opposite directions. One cyclist travels 8 mph slower than the other. If the two cyclists are 136 miles apart after 4 hours, what is the rate of each cyclist?
What is the rate of the slower cyclist?
What is the rate of the faster cyclist?
Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

Let x be the rate of the slower cyclist, in miles per hour. Then the rate of the faster cyclist is (x+8) mph. The total distance equation in 4 hours is 4x + 4*(x+8) = 136 miles apart Simplify and solve. 4x + 4x + 4*8 = 136 8x = 136 - 32 8x = 104 x = 104/8 = 13 mph. ANSWER. The slower cyclist rate is 13 miles per hour.

Solved.

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Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Their combined speed apart is 136/4 =34 mph
x and x+8 are the speeds
2x+8=34
2x=26
x=13 mph slower cyclist
x+8=21 mph faster cyclist
in 4 hours, they go 52 and 84 miles respectively.
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