ArithmeticTwo horses run to a place at the speed of 80 kmph and 100 kmph respectively. If the second horse takes 4 hours less than the first for the journey. Find the length of the journey.

Two horses run to a place at the speed of 80 kmph and 100 kmph respectively. If the second horse takes 4 hours less than the first for the journey. Find the length of the journey.

A
1000 km
B
1200 km
C
1600 km
D
200 km

Solution:

Total distance = x km

Time to complete the journey of horse at speed 80 kmph = t

Time to complete the journey of horse at speed 100 kmph

$\Rightarrow t = 4$

$\frac{x}{80} =; \frac{x}{100} = t - 4$

$\frac{x}{100} = \frac{x}{80} - 4$

$\Rightarrow \frac{5 x - 4 x}{400} = 4$

$\Rightarrow x = 4 \times 400 = 1600 k m$