Time and Distance Practice Test 2 with solutions

Total distance = 80 km.
Distance covered by foot = y
Distance covered by bicycle = (80 - y)
Distance covered by foot in hours = x hrs.
Distance covered by bicycle in hours = (8 - x) hrs.
Speed by foot = 8 km/hr.
Speed by bicycle = 16 km/hr
First calculate the distance covered by foot.
X = $\frac{\mathit{y}}{8}$
⇒ 8x = y ... (i)
Secondly, calculate the distance covered by bicycle.
(8 - x) = $\frac{\left(80-\mathit{y}\right)}{16}$
128 - 16x = 80 - y
128 - 80 = 16x - 8x
48 = 8x
x = 6 hrs.
Now distance covered by foot = 8 × 6 = y
y = 48 km.