Question 896545
The given information into a table assigning for d:
Uniform Rate Rule, RT=D equivalent to T=D/R



_____________________speed______time_________distance
Ann__________________65________(___)_________d+100
Tom__________________60________(___)__________d
TOTAL___________________________10


_____________________speed______time_________distance
Ann__________________65________(d+100)/65_________d+100
Tom__________________60________(d/60)__________d
TOTAL___________________________10



Question is for TIMES that each drove, but this requires first solving for d.
{{{highlight((d+100)/65+d/60=10)}}}.
Check for lowest common denominator carefully.  LCD is {{{5*12*13=780}}}.
Multiply left and right members by {{{5*12*13}}}.
.
.




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65=5*13;
60=2*2*3*5;
LCD is 2*2*3*5*13=780