Question

Nicole and Kim are in cities that are 285 miles apart when they begin driving toward each other. Nicole drives 5 mi/h faster than Kim. If they meet in 3 hours, what is the rate of each driver?

Nicole’s rate is 40 mi/h, and Kim’s rate is 45 mi/h.

Nicole’s rate is 50 mi/h, and Kim’s rate is 45 mi/h.

Nicole’s rate is 55 mi/h, and Kim’s rate is 50 mi/h.

Nicole’s rate is 45 mi/h, and Kim’s rate is 50 mi/h.

Answer 1

Nicole’s rate 50mi/h and Kim ‘s is 45mi/h

Answer 2

Nicole’s rate is $50 mi/h$  and Kim’s rate is $45 mi/h$

Relation between Speed and time:

Given that, Nicole drives 5 mi/h faster than Kim.

Let us consider that speed of Kim is x .

So that, speed of Nicole will be,$=(x+5)$

If they meet in 3 hours.

• The distance travelled by Kim in 3 hours $=3x$

• The distance travelled by  Nicole in 3 hours $=3(x+5)$

Total distance is 285 miles.

              $3x+3(x+5)=285\\\\6x=285-15\\\\6x=270\\\\x=270/6=45$

Hence, The Nicole’s rate is $45 mi/h$  and Kim’s rate is $50 mi/h$.

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