Triplets Peter, Reeta and Nikita have two ways for getting home fromschool each day: cycle on a tandem bike or walk. The bike can carryeither one or two riders at a time. Regardless of the number of peoplepedalling, cycling speed is 5 times walking speed. The triplets alwaysleave school at the same time and always use the same path betweenschool and home, whether walking or cycling. The school is 5 km fromhome and their walking speed is 4 kilometres per hour.ㅊa On Monday, Nikita and Peter cycle and Reeta walks. On reaching thepoint four-fifths of the way home the bike gets a puncture, so Nikitaand Peter walk the rest of the way home. How far from school isReeta when the cyclists arrive home?b On Tuesday, Peter and Reeta ride the bike and Nikita walks. Whenthe cyclists arrive home, Peter hops off the bike and Reeta rides backtowards school to collect Nikita. How far from school is Nikita whenReeta reaches her?c On Wednesday, Reeta and Nikita take the bike and Peter walks. Whenthe cyclists are halfway home, Reeta hops off and walks the rest of theway, while Nikita heads back to pick up Peter. How far from schoolis Reeta when her siblings pass her on the bike?d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at acertain point leaving her to walk home. Meanwhile he returns to pickup Reeta and they cycle home together. If all three arrive home at thesame time, how far from school are the drop-off and pick-up points?M

(a) according to question distance between school and home is d=5 km walking speed s1=4 kmhr cycling…

Answered: a On Monday, Nikita and Peter cycle and…

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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a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home?