A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 mph and the rest at 5mph.

A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 mph and the rest at 5mph. What is the total distance to be covered?

Expert Solution

we start by determining 2/3 of the time. This is given by:

(2/3)x1.4 = (42/45)hrs

we determine the distance covered during this time which is given by:

(42/45)x4 = 3.7miles

we then determine the time that he traveled at 5mph. this is given by:

(1/3)x1.4 = (7/15)hrs

we determine the distance that he traveled at 5mph. this is given by:

(7/15)x5 = 2.3miles

we add the two distances to find the total distance that he traveled. This is given by:

2.3+3.7 = 6miles

the total distance that the man traveled was 6 miles.

joseph irungu answered 2 years ago

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