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Chapter 3: Q. 3.100 (page 384)

Thanh and Nhat leave their office in Sacramento at the same time. Thanh drives north on I-5 at a speed of 72 miles per hour. Nhat drives south on I-5 at a speed of 76 miles per hour. How long will it take them to be 330 miles apart?

Short Answer

Expert verified

2.2 hours it will take to be 330 miles apart

Step by step solution

01

Step 1. Given information

Let tbe the time it will take them to be 330miles apart

Thanh drives north on I-5 at a speed of 72milesperhour

Nhat drives south on I-5 at a speed of76milesperhour

02

Step 2. Finding How long will it take them to be 330 milesapart?

Thanh take them to be 330 miles apart 72×t=72t

Nhat take them to be 330 miles apart 76×t=76t

The distance traveled by the Thanh going north on I-5 plus the distance travelled by the Nhat going south on I-5 must add up to 330 miles

So, we can write it as,72t+76t=330

148t=330t=330148t=2.229

2.2 hours it will take to be 330 miles apart

Thanh take them to be 330 miles apart 72×2.2=158.4miles

Nhat take them to be 330 miles apart76×2.2=167.2miles

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