Problem: If I walk at the rate of 4 kmph I miss the train by 10 minutes. If I walk at the rate of 5 kmph I reach 5 minutes before the arrival of the train. How far is the station from my house assuming that I start walking from my house?
View all: UCBL BANK (TO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: ans: 5.
Explanation:
Let, the distance of the station from my house = x km.Here, total time = 5 + 10 = 15 minutes =$\frac{15}{60}= \frac{1}{4}$ hour
According to the question,$\frac{x}{4}-\frac{x}{5} = \frac{1}{4}$
=> $\frac{5x-4x}{20} = \frac{1}{4}$
=> x = $\frac{20}{4}$
x = 5