
Step By Step Solution:
Let t be a time when cyc and mo meet:
The distance between points A and B is 200mi:
Let d1 be the distance covered by cyc from point A:
Recall the Speed:
Speed=\frac{Distance}{Time}
17~mph=\frac{d{1}}{t}\implies d_1=17t
Find the d1:
d1=17t
Let d2 be the distance covered by mo from point B:
Recall the Speed:
83~mph=\frac{d{2}}{t}\implies d_2=83t
Find the d2:
d2=83t
Points A and B are 200~mi apart:
It means,
d{1}+d{2}=200
Substitute the
d_1=17t, d_1=83t
into the above:
Simplify the expression:
17t+83t=200\implies 100t=200
Find the t:
100t=20 \implies t=2
Find the d1 for t=2:
d1=17t\implies d_1=17\times 2\implies d_1=34
Therefore, The 34 miles distance from point A will they meet:
The required answer is:
34 miles distance from point A will they meet
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