Question

A bus goes to station $B$ from $A$ every $\frac{1}{6}th$ of an hour. A car starts from station $B$ towards $A$ at the same instant with the velocity of bus i.e. $60 \,km h^{-1}$. If distance between $A$ and $B$ is $60\,m$ the number of buses met by car is

• A. 10
• B. 11
• C. 12
• D. 13

Answer 1

Answer: (B)

11

Answer 2

Time taken to reach other station =$\frac{60}{60}$ = 1 h Number of buses leaving A in 1 h = $\frac{1}{1/6}$ = 6 Thus 6th bus just starts when 1st bus reaches B. The number of buses met by car = 6 + 5 = 11