Question : A train covers a certain distance in 210 minutes at a speed of 60 km/hr. The time taken by the train, to cover the same distance at a speed of 80 km/hr is:
Option 1: $3\frac{5}{8}\ \text{hours}$
Option 2: $2\frac{5}{8}\ \text{hours}$
Option 3: $4\frac{5}{8}\ \text{hours}$
Option 4: $3\ \text{hours}$
Correct Answer: $2\frac{5}{8}\ \text{hours}$
Solution :
Speed of the train = 60 km/hr
Time = 210 minutes = $\frac{210}{60} = \frac{7}{2}$ hours
Distance covered = 60 × $\frac{7}{2}$ = 210 km
$\therefore$ Time taken at 80 km/hr $=\frac{210}{80} = \frac{21}{8} = 2\frac{5}{8}\ \text{hours}$
Hence, the correct answer is $2\frac{5}{8}\ \text{hours}$.
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