Plz me.
a man who gets off his vehicle keeps walking towards a forest on a straight path. he then observes a bear 26m ahead of him and turns back to run with a velocity of 4ms^-1 towards his vehicle which is located within a distance of 'd'.
if the bear chases the man with a velocity of 6ms^-1, find the value of d for the man to safely return to his vehicle.
i'll give you brainliest

52 meters

Explanation:

The man runs a distance D meters at 4 m/s.  The bear runs a distance D+26 meters at 6 m/s.

The time it takes the man to reach the vehicle is:

t = D / 4

The time it takes the bear to reach the vehicle is:

t = (D + 26) / 6

If they reach the vehicle at the same time:

D / 4 = (D + 26) / 6

6D = 4(D + 26)

6D = 4D + 104

2D = 104

D = 52

The man can return safely to his vehicle if D is less than 52 meters.

52 meters

Explanation:

A man who gets off his vehicle keeps walking towards a forest on a straight path. He then observes a bear 26m ahead of him and turns back to run with a velocity of 4ms^-1 towards his vehicle which is located within a distance of 'D'.  If the bear chases the man with a velocity of 6ms^-1, the value of D for the man to safely return to his vehicle is 52 meters.