Answer:
380 miles
Step-by-step explanation:
Let the time he travelled on the second day = t
Then the first day's time is t + 2
The first day's distance is d+20
The second day's distance is d
The second day's distance is also 60*t or d = 60*t
First day: 40*(t+2) = d + 20
Put the second day's distance into the first day's equation
40(t+ 2) = 60t + 20 Now solve for t. Remove the brackets
40*t + 80 = 60t + 20 Subtract 20 from both sides
40t + 80 - 20 = 60t Combine
40t + 60 = 60t Subtract 40t from both sides
60 = 60t - 40t
60 = 20t Divide by 20
t = 60 / 20
t = 3
Day 2s distance = 60*3 = 180
Day 1s distance = 40*5 =200
Total 380
You may ask where the 20 went. It is a fact relating the distance of day 1 with day 2. No one actually travelled the 20 miles. It is just that there is a difference of 20 miles in the two distances.
