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H. Answer the following problems. 1) Marivic is five years older than Michelle. In three years, the product of her age and Michelle's age five years ago will be 90 years. Find their present ages.

H. Answer the following problems. 1) Marivic is five years older than Michelle. In three years, the product of her age and Michelle's age five years ago will be 90 years. Find their present ages.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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H. Answer the following problems. 1) Marivic is five years older than Michelle. In three years, the product of her age and Michelle's age five years ago will be 90 years. Find their present ages. 2) Alyson is three years younger than her friend Joshua. In seven years, the product of their ages will be 5 more than thrice the product of their ages five years ago. How old are each at present? 3) Two pipes can fill together a small reservoir in two hours. Working alone, the first pipe can fill the reservoir in 105 minutes less time than the second pipe can. How long would each pipe need to fill the reservoir? 5) 4) Two cars started at the same place and same time towards the 90-km route. Car A traveled 1 km per hour faster than Car B and reached 1 hour before Car B. Find the rate of each car. Ivy travels 12 miles through boat until she decided to turn around and heads back to her starting point. Along the way, she passes a digital sign that indicates the river is 2 miles per hour. If during the entire trip, she did not touch the throttle to change speed, find the speed of the boat in still water.
Transcribed Image Text:H. Answer the following problems. 1) Marivic is five years older than Michelle. In three years, the product of her age and Michelle's age five years ago will be 90 years. Find their present ages. 2) Alyson is three years younger than her friend Joshua. In seven years, the product of their ages will be 5 more than thrice the product of their ages five years ago. How old are each at present? 3) Two pipes can fill together a small reservoir in two hours. Working alone, the first pipe can fill the reservoir in 105 minutes less time than the second pipe can. How long would each pipe need to fill the reservoir? 5) 4) Two cars started at the same place and same time towards the 90-km route. Car A traveled 1 km per hour faster than Car B and reached 1 hour before Car B. Find the rate of each car. Ivy travels 12 miles through boat until she decided to turn around and heads back to her starting point. Along the way, she passes a digital sign that indicates the river is 2 miles per hour. If during the entire trip, she did not touch the throttle to change speed, find the speed of the boat in still water.
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