Question

Joe travels from Mumbai to Pune in 10
hours on his bicycle. He completes first
one-third of the distance at 9 km/hr and
the remaining distance at 12 km/hr. Then
find out the distance (in Km) between
Mumbai and Pune?​

Answer 1

Answer:

108 km

Step-by-step explanation:

$speed \: = \frac{distance}{time} \\ time \: = \frac{distance}{speed}$

Suppose the distance between Pune and Mumbai is x km.

Distance travelled at 9 km/h = x/3

Distance travelled at 12 km/h = x - x/3 = 2x/3

$t1 = \frac{ \frac{x}{3} }{9} = \frac{x}{27} \\ t2 = \frac{ \frac{2x}{3} }{12} = \frac{x}{18}$

But total time is 10 hours. So,

$t1 + t2 = 10 \\ \frac{x}{18} + \frac{x}{27} = 10 \\ \frac{3x}{54} + \frac{2x}{54} = 10 \\ \frac{5x}{54} = 10 \\ x = \frac{10 \times 54}{5} = 2 \times 54 = 108 \: km$

Therefore, the distance between Mumbai and Pune is 108 km.