Question 939761
Suppose she traveled {{{x}}} hours on foot.
Total time {{{t= 10}}} hours so she traveled {{{(10-x)}}} hours on horseback.

Therefore, on foot she traveled {{{3*x}}} miles
and on horseback she went {{{7*(10-x)=70-7x}}} miles.

In total, that is {{{3x + 70 - 7x = 70 - 4x}}}

The total distance traveled was {{{46}}} miles so that {{{70 - 4x = 46}}}
Therefore {{{4x = 70-46 = 24}}} and so {{{x = 24/4 = 6}}} hours. 

{{{x = 6}}} hours  on foot and {{{10-x=10-6=4}}} hours on horseback

so, answer is  A.{{{6}}} hours on foot and {{{4}}} hours on horse