A boy travelled from the home to the college at the rate of 25 km/hr and walked back at the rate of 4 km/hr. If the whole journey took 5 hours 48 minutes, Find the distance of the college from the home?

Created: 4 years ago | Updated: 4 years ago

Updated: 4 years ago

5 km

10 km

15 km

20 km

Probashi Kallyan Bank এসিস্ট্যান্ট এক্সিকিউটিভ অফিসার (ক্যাশ) ০১. ১১. ২০১৯ গণিত

ব্যাখ্যা

453

Best Ans:

Let, 
The distance of the
college  from the home 
 = x km
ATQ, 
 $\frac{x}{25} + \frac{x}{5} = 5 h o u r s 48 m i n u t e s \Rightarrow \frac{x}{25} + \frac{x}{4} = (5 + \frac{48}{60}) h o u r s \Rightarrow \frac{4 x + 25 x}{100} = \frac{29}{5} \Rightarrow \frac{29 x}{100} = \frac{29}{5} \Rightarrow x = \frac{29 \times 100}{5 \times 29} .' . x = 20$