Question 262765
This is an RTD problem. creating a table from above, we get
driving . . . . . rate . . . . . .time . . . . . distance
from D . . . . . .60 . . . . . . .T . . . . . . . . 60T
home . . . . . . .45 . . . . . .21 - T . . . . . 945 - 45T
total . . . . . . . . . . . . . . . . 21. . . . . . . . . . . . . .
It appears that the distances are equal, so we get
60T = 945 - 45T
and then
105T = 945
T = 9.
We need distances, so
60(9) = 540 miles
45 (21-9) = 45(12) = 540 miles.