Question

The home is 13.5 miles away and you are left with $\$26$. If a cab ride costs $\$1.25$ for the first mile, and $\$2.25$ per mile after the first one, then how much distance will you have to walk for ?

• A. 1 mile
• B. 1.5 mile
• C. 2 mile
• D. 2.5 mile

Answer 1

The correct option is B 1.5 mile

Let the distance covered by cab be 'x' miles.
Charges for first mile = $\$1.25$
Charges per mile after 1 mile = $\$2.25$


so,
1.25 + 2.25x = 26
2.25x = 26 - 1.25
2.25x = 24.75
x = 11 miles
Total distance covered by cab = 11 + 1 = 12 miles

Total distance given = 13.5 miles
Distance you need to walk = 13.5 - 12 = 1.5 miles