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Solve the following problems comprehensively. Show all your solutions. 1. Mr. and Mrs. Austria love to run around the town. From past experiences, they know that Mr. Austria can run 6km in the time it takes Mrs. Austria to run 4km. They have decided that they need to run the same distance, 9km, and finish together. How much of a head start does Mrs. Austria need for them to finish together?

Solve the following problems comprehensively. Show all your solutions. 1. Mr. and Mrs. Austria love to run around the town. From past experiences, they know that Mr. Austria can run 6km in the time it takes Mrs. Austria to run 4km. They have decided that they need to run the same distance, 9km, and finish together. How much of a head start does Mrs. Austria need for them to finish together?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 2 Solve the following problems comprehensively. Show all your solutions. 1. Mr. and Mrs. Austria love to run around the town. From past experiences, they know that Mr. Austria can run 6km in the time it takes Mrs. Austria to run 4km. They have decided that they need to run the same distance, 9km, and finish together. How much of a head start does Mrs. Austria need for them to finish together? 2. Pedro and Petra went to fetch a pail of water from a well. Pedro had a 3 gal pail while Petra had a 5 gal pail. When they were on their way home, they found an 8 gal pail. How should they divide the water so that each one had 4 gal of water? Source: google images 3. Angela and Mikayla started to work on the same day. After they had started work, Angela is to visit the central office every 15 days and Mikayla is to visit the central office every 18 days. How many days will it be before they both visit the central office at the same time? 53 Winnie is offered an afternoon gardening job that will last for 15 days. The home owner who wants to hire her offers two payment schemes: Scheme 1: A payment of P100 on the first day and then P25 and an 4. additional of 50% of the previous day payment each day thereafter. Scheme 2: A payment of P1500 for the 15 days gardening work. Which payment scheme should Winnie accept? iovia 5. Anthony's annual income has been increasing each year by the same amount. The first year, his income was 24,000php and the ninth year income was 31,680php. In which year was his income 45, 120php?
Transcribed Image Text:Exercise 2 Solve the following problems comprehensively. Show all your solutions. 1. Mr. and Mrs. Austria love to run around the town. From past experiences, they know that Mr. Austria can run 6km in the time it takes Mrs. Austria to run 4km. They have decided that they need to run the same distance, 9km, and finish together. How much of a head start does Mrs. Austria need for them to finish together? 2. Pedro and Petra went to fetch a pail of water from a well. Pedro had a 3 gal pail while Petra had a 5 gal pail. When they were on their way home, they found an 8 gal pail. How should they divide the water so that each one had 4 gal of water? Source: google images 3. Angela and Mikayla started to work on the same day. After they had started work, Angela is to visit the central office every 15 days and Mikayla is to visit the central office every 18 days. How many days will it be before they both visit the central office at the same time? 53 Winnie is offered an afternoon gardening job that will last for 15 days. The home owner who wants to hire her offers two payment schemes: Scheme 1: A payment of P100 on the first day and then P25 and an 4. additional of 50% of the previous day payment each day thereafter. Scheme 2: A payment of P1500 for the 15 days gardening work. Which payment scheme should Winnie accept? iovia 5. Anthony's annual income has been increasing each year by the same amount. The first year, his income was 24,000php and the ninth year income was 31,680php. In which year was his income 45, 120php?
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