What is the total time taken for the entire journey that max made?

Question

max intended to travel a certain distace at a certain uniform sped.but after 1 hr,he increased his speed by 25%,as a result of this, in the remainin part of time dat he had planned 4 journy,endedup covring as much dis as total distance dat he had initially planned for,there by over shooting his intendd distance of travell...

Answer 1

He traveled 5 hours.

Say he went 100mph for an hour and had planned on doing so for 5 hours making the total distance 500 miles.

After an hour he increased his speed by 25% to 125mph.  In the remaining 4 hours he travels 500 additional miles (the same as his initial plan) and overshoots by 100 miles.

Answer 2

v1t = v2(t - 1)

v1t = 1.25v1(t - 1)

t = 1.25(t - 1)

t = 1.25t - 1.25

0.25t = 1.25

t = 1.25/0.25 = 5 hr