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Chapter 3: Q. 3.99 (page 384)

Pierre and Monique leave their home in Portland at the same time. Pierre drives north on the turnpike at a speed of 75 miles per hour while Monique drives south at a speed of 68 miles per hour. How long will it take them to be 429 miles apart?

Short Answer

Expert verified

3 hours time it take them to be 429 miles apart

Step by step solution

01

Step 1. Given information

Let tbe the time.

Pierre drives north on the turnpike at a speed of =75milesperhour

Monique drives south at a speed of68milesperhour

02

Step 2. finding How long will it take them to be 429 miles apart

Pierre takes time to be 429 miles apart 75脳t=75t

Monique takes time to be 429 miles apart 68脳t=68t

The distance traveled by the Pierre going north plus the distance travelled by the Monique going south must add up to 429 miles

So,we write it as 75t+68t=429

143t=429t=429143t=3

3 hours time it take them to be 429 miles apart

Pierre takes time to be 429 miles apart75脳3=225miles

Monique takes time to be 429 miles apart68脳3=204miles

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