Question

In the diagram of roads above, the numbers represent road distances in miles. and the arrows show the only directions in which travel is permitted on the roads. If the length of the longest route from A to B is t miles. and if the length of the shortest route from A to B is s miles, then $\iota -s=$

• A. 9
• B. 8
• C. 7
• D. 3
• E. 2

Answer 1

The correct option is E 2

Now we will calculate all the possible lengths of routes from $A$ to $B$.

• $4+3+2=9$
• $3+2+2=7$
• $3+1+4=8$
• $4+4=8$
• So the longest route has length $9$ and smallest route has length $7$. which implies $t=9$ and $s=7$.
• So $t-s$ will be $9-7=2$