Chapter 2: Q. 2.88 (page 159)

Ashley goes to college in Minneapolis, 234 miles from her home in Sioux Falls. She wants her parents to bring her more winter clothes, so they decide to meet at a restaurant on the road between Minneapolis and Sioux Falls. Ashley and her parents both drove two hours to the restaurant. Ashley’s average speed was seven miles per hour faster than her parents’ average speed. Find Ashley’s and her parents’ average speed.

Short Answer

Expert verified

The parents speed is = 55 mph

The Ashley speed is = 62 mph

Step by step solution

Step 1. Given Data

Ashley goes to college in Minneapolis, 234 miles from her home in Sioux Falls. Ashley and her parents both drove two hours to the restaurant. Ashley’s average speed was seven miles per hour faster than her parents’ average speed.

Step 2. To Find

Find Ashley’s and her parents’ average speed.

Step 3. Explanation

We know that -

$S p e e d (m p h) = \frac{D i s \tan c e (m i l e s)}{T i m e (h r s .)}$

Let the parents speed is = P

then, the Ashley speed is = P+7

Type	$R a t e (m p h) \times T i m e (h r s .) = D i s \tan c e (m i l e s)$
Parent	P	2	2P
Ashley	P+7	2	2(P+7)
			234

step 4. Calculation

With the Help of table, We can say that -

$D i s \tan c e d r o v e b y p a r e n t + D i s \tan c e d o v e b y A s h l e y = 234$

$2 P + 2 (P + 7) = 234$

$2 P + 2 P + 14 = 234$

$4 P = 234 - 14$

$4 P = 220$

$P = 55$

The parents speed is = 55 mph

The Ashley speed is = $(P + 7)$

= $(55 + 7)$

= 62 mph

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Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

step 4. Calculation

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