Town X and Town Y are 320 km apart. Peter and Oscar left Town X at the same time. Peter travelled at a uniform speed of 80 km/h and Oscar travelled at a uniform speed which was 25% slower than Peter. After 3 of the total distance between passing a petrol station which was 8 Town X and Town Y, Peter and Oscar changed their speed and continued their remaining journey at the new speed. Peter decreased his speed by 500 m/min. Peter and Oscar reached Town Y at the same time. (a) How long did Peter take to complete the whole journey? Express your answer in hours. (b) What was Oscar's speed from the petrol station to Town Y? Petrol Station Town X H X+ 111 320 km- HH Town Y
Town X and Town Y are 320 km apart. Peter and Oscar left Town X at the same time. Peter travelled at a uniform speed of 80 km/h and Oscar travelled at a uniform speed which was 25% slower than Peter. After 3 of the total distance between passing a petrol station which was 8 Town X and Town Y, Peter and Oscar changed their speed and continued their remaining journey at the new speed. Peter decreased his speed by 500 m/min. Peter and Oscar reached Town Y at the same time. (a) How long did Peter take to complete the whole journey? Express your answer in hours. (b) What was Oscar's speed from the petrol station to Town Y? Petrol Station Town X H X+ 111 320 km- HH Town Y
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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Transcribed Image Text:Town X and Town Y are 320 km apart. Peter and Oscar left Town X at the
same time. Peter travelled at a uniform speed of 80 km/h and Oscar
travelled at a uniform speed which was 25% slower than Peter. After
passing a petrol station which was of the total distance between
Town X and Town Y, Peter and Oscar changed their speed and continued
their remaining journey at the new speed. Peter decreased his speed by
500 m/min. Peter and Oscar reached Town Y at the same time.
3
8
(a) How long did Peter take to complete the whole journey?
Express your answer in hours.
(b) What was Oscar's speed from the petrol station to Town Y?
Petrol
Station
Town X H
X+
H
320 km-
Town Y
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