Question

brainliestMr. Cini drove at 100 km/h for a 160 km trip. How much longer would the trip have taken if he had driven at 90 km/h? Show all your work, explain how to figure out this problem, and explain how you know you are correct.

Answer 1

Answer:

$the \: time \: will \: be \: \boxed{1.8 \: hrs} \to \: \\ this \: is \: true \: since \: the \: car \: traveled \: with \: lower \: speed : \\ it \: will \: then \: cover \: the \: same \: distance \\ \: with \: mor e\: time. \: this \: is \: true \:s ince \to \boxed{1.8 \: hrs \: > 1.6 \: hrs}$

Explanation:

$since \: velocity \: is \: given \: as \to \\ v = \frac{d}{t} \\ then \: the \: time \: is \to \\ t = \frac{d}{v} \: since \: (d) \: is \: constant \: in \: this \: case \to \\ when \: (v\: is \: 100 \: km {(h)}^{ - 1} ) \: then \: the \: time \: is \to \\ t = \frac{160}{100} = 1.6 \: hrs \\ \\ when \: (v\: \: is \: 90 \: {km(h)}^{ - 1}) \: then \: the \: time \: is \to \\ t = \frac{160}{90} = 1.7777777778 \\ hence \: the \: time \: will \: be \: \boxed{1.778 \: hrs}$

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