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Ray Of Light [21]
3 years ago
6

3t-2+t=4-7t solve for t

Mathematics
1 answer:
zvonat [6]3 years ago
7 0
3t-2+t=4-7t
4t-2=4-7t
-6=-11t
6/11=t

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The average speed of Car 1 = 45 mph.
oee [108]

Answer:

\boxed{\text{0.675 h}}

Step-by-step explanation:

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  Let t = time of Car 2. Then

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Distance = speed × time, and both cars travel the same distance. Then

\begin{array}{rcl}45(t + 0.3) & = & 65t\\45t + 13.5 & = & 65t\\20t & = & 13.5\\t & = & \textbf{0.675 h}\\\end{array}\\\text{Car will overtake Car 1 in } \boxed{\textbf{0.675 h}}

Check:

\begin{array}{rcl}45(0.675 + 0.3) & = & 65 \times 0.675\\45 \times 0.975 & = & 43.875\\43.875 & = & 43.875\\\end{array}

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