A and B travel the same distance at speed of 9 km/hr and 10 km/hr respectively. If A takes 36 min more than B, the distance travelled by each is :
A. 48 km
B. 54 km
C. 60 km
D. 66 km
Answer: Option B
Solution(By Examveda Team)
Let tistance between A and B be $$x$$ km, then$$\eqalign{ & \frac{x}{9} - \frac{x}{{10}} = \frac{{36}}{{60}} \cr & \Rightarrow \frac{x}{{90}} = \frac{3}{5} \cr & \Rightarrow x = \frac{3}{5} \times 90 \cr & \Rightarrow x = 54\,{\text{km}} \cr & {\text{Hence option B is correct}} \cr} $$
$$\eqalign{ & \text{Alternate Solution:} \cr & {\text{Here,}}\,{s_1} = 9,\,{t_1} = x \cr & {s_2} = 10,\,{t_2} = x - \frac{{36}}{{60}} \cr & {s_1}{t_1} = {s_2}{t_2} \cr & \Rightarrow 9 \times x = 10\times\left( {x - \frac{{36}}{{60}}} \right) \cr & \Rightarrow 9 9x = 10x - 6 \cr & \Rightarrow 9 x = 6 \cr & \therefore {\text{ Distance }}\,{\text{travelled}} \cr & = s_1 \times t_1 \cr & = 9 \times 6 \cr & = 54\,\,{\text{km}} \cr} $$
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Comments ( 1 )
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
great job