Step 1: Understand the problem
The four houses are arranged in a straight line from east to west:
Joneses – Smiths – Robinsons – Jacksons
We need to determine the total distance from the Joneses' house to the Jacksons' house.
Step 2: Analyze Statement (1)
(1) The distance from the Joneses' house to the Robinsons' house is 68 feet.
This means:
(Joneses to Smiths) + (Smiths to Robinsons) = 68 feet
However, we do not know the distance from Robinsons to Jacksons.
Statement (1) alone is insufficient.
Step 3: Analyze Statement (2)
(2) The distance from the Smiths' house to the Jacksons' house is 75 feet.
This means:
(Smiths to Robinsons) + (Robinsons to Jacksons) = 75 feet
However, we do not know the distance from Joneses to Smiths.
Statement (2) alone is insufficient.
Step 4: Combine both statements
From (1):
(Joneses to Smiths) + (Smiths to Robinsons) = 68 feet
From (2):
(Smiths to Robinsons) + (Robinsons to Jacksons) = 75 feet
Adding both equations:
(Joneses to Smiths) + (Smiths to Robinsons) + (Smiths to Robinsons) + (Robinsons to Jacksons) = 143 feet
Since (Smiths to Robinsons) is counted twice, we cannot separate the individual distances.
Thus, we cannot determine the total distance from Joneses to Jacksons.
Final Answer: E (Statements together are insufficient).