Question
A car travelling with \(\frac{5}{7}\) of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
Answer: Option D
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Time taken = 1 hr 40 min 48 sec = 1 hr\(40\frac{4}{5}min=1\frac{51}{75}hrs=\frac{126}{75}hrs.\)
Let the actual speed be x km/hr.
Then,\(\frac{5}{7}x\times\frac{126}{75}=42\)
\(x=\left(\frac{42\times7\times75}{5\times126}\right)=35km/hr\)
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