Ashwin and Donald decided to set out from two towns on their bikes, which are 247 miles apart, connected by a straight Roman road in England. When they finally met up somewhere between the two towns, Ashwin had been cycling for 9 miles a day. The number of days for the whole adventure is 3 more than the number of miles that Donald had been cycling in a day. How many miles did each cycle? explanatory solutions

Answer 1

Let the number of miles Donald has been cycling be x.
The number of days of the adventure is 3x.
Ashwin has been cycling 9 miles a day, so Ashwin has covered 3x * 9 miles = 27x.
The total distance is 247 miles
Add the distance that Ashwin and Donald have been cycling for
x+27x = 147
Once you solve for x, you can calculate how the distance each person has cycled respectively

Answer 2

Let the number of miles Donald has been cycling be x.
The number of days of the adventure is x + 3
Ashwin has been cycling 9 miles a day

Equation
Total # of days x ( # of miles of Ashwin per day + # of miles of Donald per Day) = 247
(x + 3)(9 + x) = 247 ----- Find the positive roots

the root is 10
so, x = 10
The number of days of the adventure is x + 3
so, x + 3 = 10 + 3 = 13 days
ashwin = 9 miles x 13 days = 117 miles
Donald = 10 miles x 13 days = 130 miles