Hello,
the provided 1st case solution to 'Word Problem #14' is correct.
but the provided 2nd case solution to 'Word Problem #14' isn't correct.
https://www.math10.com/en/algebra/word-problems.htmlIt is nonsensical to say the length of the detour is 28 km longer than the original route,
and then to give the calculated distance of the detour as only 20 km.
The mistake is here:
The distance from C to B is 32(x−3/4) = 40x + 28 km
should be:
The distance from C to B is 32(x−1/4) = 40x + 28 km
then the results are:
planned total distance A_C_B = 96 + 72 = 168 km
planned total time A_C_B = 180 + 135 = 315 minutes = 21/4 hours
actual total distance A_C_B = 96 + 100 = 196 km
actual total time A_C_B = 180 + 15 + 150 = 345 minutes = 23/4 hours
best, Greg