Question 517725
Cyclists A Data
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Speed = 9mph
Time=t hour
Distance Covered by Cyclists A=9*t
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Cyclists B Data
============
Speed = 11mph
Time=t hour
Distance covered by Cyclists B=11*t


Distance Covered by Cyclists A + Distance Covered by Cyclists B = Total Distnace apart
9t+11t=100
20t=100
20t/20=100/20
t=5 hour


They will be 100 miles apart after 5 hours.


Check
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Cyclists A Data
==========
Speed = 9mph
Time=5 hour
Distance Covered by Cyclists A=9*5=45 miles
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Cyclists B Data
============
Speed = 11mph
Time=5 hour
Distance covered by Cyclists B=11*5=55

Cyclists A Travel + Cyclists B Travel = Total distance between two cyclists
45+55=100
100=100