An auto rickshaw charges Rs 10 for the first kilometre then Rs 8 for each such subsequent kilometre. The total charge (in Rs) for d kilometres is _________.
The total charge (in Rs) for d kilometres is 10 + 8(d – 1).
Step 1: Understand the rule
• First 1 kilometre costs Rs 10.
• Every kilometre after that costs Rs 8 each.
Step 2: Write the total distance
Let the total distance be ( d ) kilometres.
Step 3: Split the journey
• First kilometre: cost = Rs 10.
• Remaining kilometres = ( d - 1 ) (when ( d ge 1 )).
Step 4: Cost of the remaining part
Each of these ( d - 1 ) kilometres costs Rs 8, so
Step 5: Add both parts
[ ext{Total charge} = 10 + 8(d - 1) ](Optional) You can also expand it:
[ 10 + 8(d - 1) = 10 + 8d - 8 = 8d + 2 ]Quick check
If ( d = 1 ):
If ( d = 2 ):
[ ext{Total} = 10 + 8(2 - 1) = 10 + 8 = 18 ext{(correct)} ]