Three-eighths 7930

The bicycle race route rises for two-fifths of its length, descends for three-eighths, and is flat for the rest. If the length of the uphill section is 4 km longer than the length of the downhill section, how long is the race route?

a) 160 km b) 100 km c) 120 km d) 150 km

Correct answer:

x =  160 km

Step-by-step explanation:


2/5x + 3/8x + y = x
2/5x = 4 + 3/8x

2/5·x + 3/8·x + y = x
2/5·x = 4 + 3/8·x

9x-40y = 0
x = 160

Row 2 - 1/9 · Row 1 → Row 2
9x-40y = 0
4.44y = 160


y = 160/4.44444444 = 36
x = 0+40y/9 = 0+40 · 36/9 = 160

x = 160
y = 36

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