Wanda started walking along a path 27 seconds before dave .wanda walked at a constant rate of 3 feet per second. dave walked along the same path at a constant rate of 4.5 feet per second. how long after dave starts walking will he catch up with wanda.?

54 seconds

Step-by-step explanation:

Wanda's walking rate = 3 ft/s

Wanda's head start = 27 s

Dave's walking rate= 4.5 ft/s

Let 't' be time after Dave started walking

The distance walked by Wanda and Dave, respectively, as a function of 't' are given by:

The instant 't' at which Dave catches up to Wanda (both distances walked are equal) is:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step explanation:

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