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Answer:

3 1/3 hours or 3 hours and 20 minutes

Solution:

distance = velocity x time

the distance travelled by the first cyclist = 15 x time

the distance travelled by the second cyclist = 12 x time

the difference distance = 15 x time - 12 x time

this difference will be 10 miles when

15 x time - 12 x time = 10

3 x time = 10

time = 10/3 = 3 1/3 hours

= 3 hours and 20 minutes.

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