Answer:
36 km.
Step-by-step explanation:
Suppose he walked n km on the first day .
We create the following equation
n + 3/4 n + (3/4)^2 n = 83.25
n + 0.75n + 0.5625n = 83.25
2.3125n = 83.25
n = 36 km.
Distance cover by Vince in 1st day is 36 km
Given that;
Total distance = 83.25 km
Number of days walking = 3
Find:
Distance cover by Vince in 1st day
Computation:
Assume;
Vince walked in 1st day = a
So,
a + (3/4)a + (3/4)(3/4)a = 83.25
a + (3/4)a + (9/16)a = 83.25
a + 0.75a + 0.5625a = 83.25
2.3125a = 83.25
a = 83.25 / 2.3125
a = 36
Distance cover by Vince in 1st day = 36 km
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