1.609 kilometers are 1 miles
so 1 kilometer is (1 km)(1 mi)/ (1.609 km)=0.6215 km
it takes the athlete: 6.5 minutes to complete 1 mile
so in: 1 minute he completes 1/6.5 = 0.1538 mile
thus, the speed of the athlete is 0.1538 miles/ minute
= (0.1538*0.6215) km/ min
= 0.0959 km/min
Time = Distance / Speed
the time to run 10 km is (10 km)/ (0.0959 km/min)=(10/0.0959) min = 10.43 minutes
Answer: 10.43