SOLUTION: Liz and Jose rode their bikes into the country at a rate of 12 miles per hour. They return on the same path but are now tired, they slow down and maintain a speed of 8 miles per ho

Question 1025328: Liz and Jose rode their bikes into the country at a rate of 12 miles per hour. They return on the same path but are now tired, they slow down and maintain a speed of 8 miles per hour. If their whole ride took 10 hours how much distance did they cover?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

rate time distance GOING 12 x d RETURNING 8 y d total 10 2d

Use basic rule RT=D and apply to the information in the data table.

Or you might choose equating two d expressions.

and this is the system you would want to solve. You can then compute d from it. Then compute 2d.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Liz and Jose rode their bikes into the country at a rate of 12 miles per hour. They return on the same path but are now tired, they slow down and maintain a speed of 8 miles per hour. If their whole ride took 10 hours how much distance did they cover?

Let distance each way be D
Then time taken on outbound trip = , and time taken on return trip =
The following TIME equation is thus formed:
2D + 3D = 240 -------- Multiplying by LCD, 24
5D = 240
D, or distance, one-way = , or 48 miles
Total distance covered: 2(48), or miles
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